Texas-instruments TITANIUM TI-89 User Manual

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Summary of Contents

Page 1 - Graphing Calculator

TI-89 TitaniumGraphing Calculator

Page 2 - Important Information

Getting Started 10TI-89 Titanium keysÊ Function keys (ƒ– Š) open toolbar menus, access Apps, and edit categories of Apps.Ë Cursor keys (A, B, C, D) m

Page 3

Previews 1005. Set the x and y Window variables to appropriate values for this example.Press 0 D 50 D 10 D 0 D 6000 D 10006. Display the Graph screen

Page 4 - Getting Started

30rotate( ), rotate . . . . . . . . . . . . . 686, 866rotate, rotate( ) . . . . . . . . . . . . . 603, 686round( ), round . . . . . . . . . . . . .

Page 5 - Progress bar

31Shade (graph math tool) . . . . . . 332, 337Shade, shade . . . . . . . . . . . . . . 632, 875shade, Shade . . . . . . . . . . . . . . . . . . 632

Page 6 - Getting Started 6

32status and open Apps . . . . . . . . . . 6viewing . . . . . . . . . . . . . . . . . . . . . 18square root, $() . . . . . . . . . . . . . . . .

Page 7

33character code, ord( ) . . . . . . . . . 602character string, char( ) . . . 602, 792dimension, dim( ) . . . . . . . . . . . . 602expression to s

Page 8 - Getting Started 8

34tan( ), tangent . . . . . . . . . . . . . . . . . . 887tan/( ), arctangent . . . . . . . . . . . . . . 888Tangent (graph math tool) 331, 336,

Page 9 - keys keys

35status . . . . . . . . . . . . . . . . . . . . . . 36tplot window variable . . . . . . . . . . . . 417Trace, trace . . . 751, 761, 763, 766,

Page 10 - TI-89 Titanium keys

36VValue (graph math tool) . .331, 332, 353, 382, . . . . . . . . . . . . . . . . . . . . . . 420variables . . . . . . . . . . . . . . . 39, 197

Page 11

37while, While . . . . . . . . . . . . . . . . . . . 613Window Editor . . . . . . . . . . . . . . . . . . 58window variables(x . . . . . . . .

Page 12 - Press Result

38ymax window variable . . .313, 344, 359, 379, . . . . . . . . . . . . . . . . . . 417, 941ymin window variable 313, 344, 351, 359, . . . . . .

Page 13

Previews 1013D Graphing 3D Graphing 3D Graphing 3D Graphing Graph the 3D equation z(x,y) = (x3y N y3x) / 390. Animate the graph by using the cursor t

Page 14 - Getting Started 14

Previews 1024. Select the ZoomStd viewing cube, which automatically graphs the equation.As the equation is evaluated (before it is graphed), “evaluat

Page 15

Previews 1036. Return the graph to its initial orientation. Then move the viewing angle along the “viewing orbit” around the graph.Press 0 (zero, not

Page 16

Previews 1049. Display the graph in different graph format styles.Press Í (press Í to switch from each style to the next)HIDDEN SURFACECONTOUR LEVELS

Page 17 - Mode settings Mode settings

Previews 105Note: You can also display the graph as an implicit plot by using the GRAPH FORMATS dialog box (8 Í). If you press Í to switch between st

Page 18 - Getting Started 18

Previews 1062. Display and clear the Y= Editor. Then define the 1st-order differential equation:y1'(t)=.001y1…(100Ny1)Press p to enter the … sho

Page 19 - Getting Started 19

Previews 1074. Display the Window Editor, and set the Window variables as shown to the right.Press 8 $ 0 D 10 D .1 D 0 D ? 10 D 110 D 10 D ? 10 D 120

Page 20

Previews 1088. Return to the Y= Editor and change yi1 to enter two initial conditions as a list:yi1={10,20}Press 8 # C ¸ 2 [ 10 b 20 2 \ ¸9. Return t

Page 21 - Note: The previous open App

Previews 10910. To select an initial condition interactively, press:2 Š When prompted, enter t=40 and y1=45.When selecting an initial condition inter

Page 22

Getting Started 11Example: Enter the right arrow symbol (→) in the Text Editor.To open the keyboard map, press 8”. The keyboard map appears.Press Res

Page 23

Previews 110Additional Graphing TopicsAdditional Graphing TopicsAdditional Graphing TopicsAdditional Graphing TopicsFrom the Home screen, graph the p

Page 24 - Calculator Home screen

Previews 1114. Draw a horizontal line across the top of the cosine curve.The calculator remains in “horizontal” mode until you select a different ope

Page 25 - Getting Started 25

Previews 112TablesTablesTablesTablesEvaluate the function y=x3N2x at each integer between M10 and 10. How many sign changes are there, and where do t

Page 26

Previews 1132. Display and clear the Y= Editor. Then define y1(x) = x3 N 2x.Press 8 # , 8 ¸ ¸ X Z 3 | 2 X ¸3. Set the table parameters to: tblStart =

Page 27 - ________

Previews 114Split ScreensSplit ScreensSplit ScreensSplit ScreensSplit the screen to show the Y= Editor and the Graph screen. Explore the behavior of

Page 28 - Working with Apps

Previews 1152. Clear the Y= Editor and turn off any stat data plots. Define y1(x) = .1x3N2x+6.A thick border around the Y= Editor indicates it is act

Page 29

Previews 1165. Switch to the Graph screen, which regraphs the edited function.The thick border is around the Graph screen.Press 2 a6. Switch to the Y

Page 30 - Getting Started 30

Previews 117Data/Matrix EditorData/Matrix EditorData/Matrix EditorData/Matrix EditorUse the Data/Matrix Editor to create a one-column list variable.

Page 31

Previews 118Note: If you don’t need to save the current variable, use it as a scratchpad. The next time you need a variable for temporary data, clear

Page 32

Previews 119Statistics and Data Plots Statistics and Data Plots Statistics and Data Plots Statistics and Data Plots Based on a sample of seven cities

Page 33 - Getting Started 33

Getting Started 12To type most characters, press 8 and the corresponding key. Press N to close the map.Example: Use the keyboard map to find the “not

Page 34 - Getting Started 34

Previews 1203. Using the sample data below, enter the population in column 1.Pop. (in 1000s) Bldgs > 12 stories150 4500 31800 42250 9500 20750 559

Page 35 - Bus iness

Previews 1215. Move the cursor to row 1 in column 1 (r1c1). Sort the data in ascending order of population.This sorts column 1 and then adjusts all o

Page 36 - Getting Started 36

Previews 1228. Close the STAT VARS screen. The Data/Matrix Editor displays.Press ¸9. Display the Calculate dialog box. Set:Calculation Type = LinRegx

Page 37

Previews 12313. Define Plot 1 as:Plot Type = ScatterMark = Boxx = C1y = C2Notice the similarities between this and the Calculate dialog box.Press , B

Page 38 - Checking status information

Previews 12415. Display the Y= Editor. For y1(x), the MedMed regression equation, set the display style to Dot.Note: Depending on the previous conten

Page 39 - Turning off the Apps desktop

Previews 12518. Return to the current session of the Data/Matrix Editor.Press O D ¸ ¸19. Enter a title for column 3. Define column 3’s header as the

Page 40 - Using the clock

Previews 12622. Enter a title for column 6. Define column 6’s header as the residuals for LinReg.Press B C 2 ™ RESID j ¸ † j C2 | j C5 ¸23. Display t

Page 41 - indicates you

Previews 12726. Display the Y= Editor and turn all the y(x) functions off.From ‡, select 3:Functions Off, not 1:All Off.Plots 2 and 3 are still selec

Page 42 - Getting Started 42

Previews 128Programming Programming Programming Programming Write a program that prompts the user to enter an integer, sums all integers from 1 to th

Page 43 - Time and date

Previews 1294. Type the following program lines.Request "Enter an integer",nDisplays a dialog box that prompts “Enter an integer”, waits fo

Page 44 - Getting Started 44

Getting Started 13Modifier keysModifier keysModifier keysModifier keysModifier keys add features by increasing the number of keyboard operations at y

Page 45 - Getting Started 45

Previews 1305. Go to the Home screen. Enter the program name, followed by a set of parentheses.You must include ( ) even when there are no arguments

Page 46 - Scroll down to October

Previews 131Text Operations Text Operations Text Operations Text Operations Start a new Text Editor session. Then practice using the Text Editor by t

Page 47

Previews 1323. Type some sample text.• To type a single uppercase letter, press 7 and then the letter.- To type a space, press j  (alpha function of

Page 48 - Clock off

Previews 133Numeric Solver Numeric Solver Numeric Solver Numeric Solver Consider the equation a=(m2Nm1)/(m2+m1)…g, where the known values are m2=10 a

Page 49 - Using menusUsing menus

Previews 1343. Enter values for each variable, except the unknown variable m1.Define m2 and g first. Then define a. (You must define g before you can

Page 50

Previews 1356. Graph the solution using a ZoomStd viewing window.The graph is displayed in a split screen. You can explore the graph by tracing, zoom

Page 51

Previews 136Number BasesNumber BasesNumber BasesNumber BasesCalculate 10 binary (base 2) + F hexadecimal (base 16) + 10 decimal (base 10). Then, use

Page 52 - points to

Previews 1373. Add 1 to the result and convert it to binary.2 4 displays the 4 conversion operator.Press « 1 2 4 2 ™ BIN j ¸4. Add 1 to the result an

Page 53

Previews 138Memory and Variable Management Memory and Variable Management Memory and Variable Management Memory and Variable Management Assign values

Page 54

Previews 139variables are locked automatically.) Finally, unarchive the variable and delete the unused variables so that they will not take up memory

Page 55 - Getting Started 55

Getting Started 14Example: Access the VAR-LINK [All] screen, where you can manage variables and Apps.Function keysFunction keysFunction keysFunction

Page 56 - Normal toolbar menu

Previews 1404. Change the screen’s view to show only function variables.Although this may not seem particularly useful in an example with four variab

Page 57

Previews 141Archiving a variableArchiving a variableArchiving a variableArchiving a variableSteps and keystrokes Display1. Redisplay VAR-LINK, and hi

Page 58 - Getting Started 58

Previews 1424. Attempt to store a different value to the archived variable.Press 10 9 X1 ¸5. Cancel the error message.Press N6. Use VAR-LINK to unarc

Page 59 - Using split screens

Previews 143Deleting variablesDeleting variablesDeleting variablesDeleting variablesSteps and keystrokes Display1. Display VAR-LINK, and use the ‡ Al

Page 60 - Getting Started 60

Previews 1444. Because ‡ 1 also selected the MAIN folder, an error message states that you cannot delete the MAIN folder. Acknowledge the message.Whe

Page 61 - Getting Started 61

Operating the Calculator 145Operating the CalculatorOperating the CalculatorOperating the CalculatorOperating the CalculatorTurning the Calculator On

Page 62

Operating the Calculator 146Turning the Calculator OffTurning the Calculator OffTurning the Calculator OffTurning the Calculator OffYou can use eithe

Page 63 - Getting Started 63

Operating the Calculator 147APD does not occur if a calculation or program is in progress, unless the program is paused. If a program is running, but

Page 64 - Getting Started 64

Operating the Calculator 148When to Replace BatteriesWhen to Replace BatteriesWhen to Replace BatteriesWhen to Replace BatteriesAs the batteries get

Page 65 - Getting Started 65

Operating the Calculator 149Ê ƒ – 2 Š open toolbar menus. Select applications (when used with 8)Ë 2, 8, ¤, and j add functionality by increasing the

Page 66 - Getting Started 66

Getting Started 15To enter a number in scientific notation:1. Type the numbers that precede the exponent. (This value can be an expression.)2. Press

Page 67 - Getting Started 67

Operating the Calculator 150Modifier KeysModifier KeysModifier KeysModifier KeysModifier KeysModifier KeysModifier KeysModifier KeysNote: Information

Page 68 - I/O portUSB port

Operating the Calculator 151Some keys perform only one additional operation, which may require either 2 or 8, depending on the color in which the ope

Page 69 - BatteriesBatteries

Operating the Calculator 1528'Displays the Table screen.@:8 58 68 7These keys let you edit entered information by performing a cut, copy, or pas

Page 70 - Getting Started 70

Operating the Calculator 153Entering Alphabetic CharactersEntering Alphabetic CharactersEntering Alphabetic CharactersEntering Alphabetic CharactersA

Page 71 - Batteries are low

Operating the Calculator 154Other letters are available as the j function of another key, similar to the 2 and 8 modifiers described in the previous

Page 72 - Getting Started 72

Operating the Calculator 155• On the TI-89 Titanium, you do not need j or alpha-lock to type x, y, z, or t. But you must use ¤ or uppercase ALPHA-loc

Page 73 - PreviewsPreviews

Operating the Calculator 156Note: To type a number, press j to turn alpha-lock off. Press j or 2 ™ to resume typing letters.Alpha-lock is not turned

Page 74

Operating the Calculator 157module. For example, it is important to know that functions such as x2 are evaluated before negation.If you use | instead

Page 75

Operating the Calculator 1582. Press:^í appears in the display.3. Type the exponent as an integer with up to 3 digits. You can use a negative exponen

Page 76

Operating the Calculator 159DefinitionsDefinitionsDefinitionsDefinitionsNotes: •The Technical Reference module describes all of the built-in function

Page 77

Getting Started 168$Displays the Window Editor.8%Displays the Graph screen.8&Sets parameters for the Table screen.8'Displays the Table scree

Page 78 - Previews 78

Operating the Calculator 160• This guidebook uses the word command as a generic reference to both functions and instructions.Implied MultiplicationIm

Page 79 - Previews 79

Operating the Calculator 161Entering an ExpressionEntering an ExpressionEntering an ExpressionEntering an ExpressionType the expression, and then pre

Page 80 - Previews 80

Operating the Calculator 162TI-89 TitaniumNote: You can also select log by using ½ Press Display3.76 e c · 7.9 « 2 ]5 d d« 2 2 ™ LOG j c 45 d¸3.76/(

Page 81

Operating the Calculator 163Entering Multiple Expressions on a LineEntering Multiple Expressions on a LineEntering Multiple Expressions on a LineEnte

Page 82

Operating the Calculator 1642. As necessary, use C and D to highlight the entry or answer you want to view. For example, C moves from answer to entry

Page 83 - Catalog

Operating the Calculator 165TI-89 TitaniumStopping a CalculationStopping a CalculationStopping a CalculationStopping a CalculationWhen a calculation

Page 84 - Previews 84

Operating the Calculator 166Pretty Print ModePretty Print ModePretty Print ModePretty Print ModeBy default, Pretty Print = ON. Exponents, roots, frac

Page 85

Operating the Calculator 167EXACT — Any result that is not a whole number is displayed in a fractional or symbolic form (1/2, p, , etc.).Note: By ret

Page 86 - Basic Function Graphing I

Operating the Calculator 168APPROXIMATE — All numeric results, where possible, are displayed in floating-point (decimal) form.Note: Results are round

Page 87

Operating the Calculator 169Note: To retain an EXACT form, use fractions instead of decimals. For example, use 3/2 instead of 1.5.The following chart

Page 88

Getting Started 17Mode settings Mode settings Mode settings Mode settings Modes control how the TI-89 Titanium displays and interprets information. A

Page 89 - Basic Function Graphing II

Operating the Calculator 170Internally, the calculator calculates and retains all decimal results with up to 14 significant digits (although a maximu

Page 90 - Y= Editor. Then

Operating the Calculator 171Ê Always 1 digit to the left of the decimal point.Ë Exponent (power of 10).Ì May have 1, 2, or 3 digits to the left of th

Page 91

Operating the Calculator 172Removing the Highlight from the Previous EntryRemoving the Highlight from the Previous EntryRemoving the Highlight from t

Page 92 - Basic Function Graphing III

Operating the Calculator 173Deleting a CharacterDeleting a CharacterDeleting a CharacterDeleting a CharacterClearing the Entry LineClearing the Entry

Page 93

Operating the Calculator 174Inserting or Overtyping a CharacterInserting or Overtyping a CharacterInserting or Overtyping a CharacterInserting or Ove

Page 94

Operating the Calculator 175To highlight multiple characters:To replace or delete the highlighted characters:MenusMenusMenusMenusTo leave the keyboar

Page 95 - Trace. Then move the cursor

Operating the Calculator 176are described in the appropriate modules.Displaying a MenuDisplaying a MenuDisplaying a MenuDisplaying a MenuPress: To di

Page 96

Operating the Calculator 177Selecting an Item from a MenuSelecting an Item from a MenuSelecting an Item from a MenuSelecting an Item from a MenuTo se

Page 97 - Window Editor

Operating the Calculator 178For items that have a submenu, you can use the cursor pad as described below.• To display the submenu for the highlighted

Page 98

Operating the Calculator 179Items Containing “. . .” (Dialog Boxes)Items Containing “. . .” (Dialog Boxes)Items Containing “. . .” (Dialog Boxes)Item

Page 99

Getting Started 181. Press 3. Page 1 of the MODE dialog box appears.2. Press „ or … to display the modes listed on Page 2 or Page 3.Note: Modes that

Page 100

Operating the Calculator 180Moving from One Toolbar Menu to AnotherMoving from One Toolbar Menu to AnotherMoving from One Toolbar Menu to AnotherMovi

Page 101 - 3D Graphing 3D Graphing

Operating the Calculator 181Selecting an ApplicationSelecting an ApplicationSelecting an ApplicationSelecting an ApplicationThe graphing calculator h

Page 102 - Steps and keystrokes Display

Operating the Calculator 182From the Apps DesktopFrom the Apps DesktopFrom the Apps DesktopFrom the Apps DesktopPress the first letter of the applica

Page 103 - Previews 103

Operating the Calculator 183The most common dialog box lists these options for the application:Select an option and press ¸. The application appears.

Page 104

Operating the Calculator 184From the KeyboardFrom the KeyboardFrom the KeyboardFrom the Keyboard

Page 105

Operating the Calculator 185You can access commonly used applications from the keyboard. On the TI-89 Titanium for example, 8# is the same as pressin

Page 106

Operating the Calculator 186Ê There are three pages of mode listings. Press ƒ, „, or … to quickly display a particular page.Ë Indicates you can scrol

Page 107

Operating the Calculator 187• Press the number or letter for that setting.Note: To cancel a menu and return to the MODE dialog box without making a s

Page 108 - Y= Editor and change yi1 to

Operating the Calculator 188Exponential FormatNotation used to display results: NORMAL, SCIENTIFIC, or ENGINEERING. Complex FormatFormat used to disp

Page 109 - Y= Editor

Operating the Calculator 189Using the Clean Up Menu to Start a New ProblemUsing the Clean Up Menu to Start a New ProblemUsing the Clean Up Menu to St

Page 110 - Additional Graphing Topics

Getting Started 19Changing mode settingsChanging mode settingsChanging mode settingsChanging mode settingsExample: Change the Language mode setting t

Page 111 - PIC1 as

Operating the Calculator 190Notes: Menu Item DescriptionClear a–z Clears (deletes) all single-character variable names in the current folder, unless

Page 112 - TablesTables

Operating the Calculator 191• When defining a variable that you want to retain, use more than one character in the name. This prevents it from being

Page 113

Operating the Calculator 192Ê Defaults to „ Built-in.Ë ƒ Help displays a command’s parameters in a dialog box.Ì … and † allow access to Flash applica

Page 114 - Split ScreensSplit Screens

Operating the Calculator 1933. Move the 8 indicator to the command, and press ¸.Note: From the top of the list, press C to move to the bottom. From t

Page 115

Operating the Calculator 194From the example above, the syntax for factor is:Note: For details about the parameters, refer to that command’s descript

Page 116 - Window Editor in its place

Operating the Calculator 195Selecting a Flash Application FunctionSelecting a Flash Application FunctionSelecting a Flash Application FunctionSelecti

Page 117 - Data/Matrix Editor

Operating the Calculator 196Selecting a User-Defined Function or ProgramSelecting a User-Defined Function or ProgramSelecting a User-Defined Function

Page 118

Operating the Calculator 1973. Move the 8 indicator to the function or program, and press ¸.Storing and Recalling Variable ValuesStoring and Recallin

Page 119 - Statistics and Data Plots

Operating the Calculator 198• Cannot be the same as a name that is preassigned by the calculator. Preassigned names include:- Built-in functions (suc

Page 120 - Previews 120

Operating the Calculator 199Storing a Value in a VariableStoring a Value in a VariableStoring a Value in a VariableStoring a Value in a Variable1. En

Page 121

TI-89 Titanium Graphing Calculator 2Important InformationTexas Instruments makes no warranty, either express or implied, including but not limited to

Page 122

Getting Started 20Scroll down to the Language field.DPress Band then press D until 3:Español is highlighted.Note: Your menu list might vary, dependin

Page 123

Operating the Calculator 200Displaying a VariableDisplaying a VariableDisplaying a VariableDisplaying a VariableIf the variable is undefined, the var

Page 124

Operating the Calculator 201Recalling a Variable’s ValueRecalling a Variable’s ValueRecalling a Variable’s ValueRecalling a Variable’s ValueIn some c

Page 125 - Previews 125

Operating the Calculator 202Í Exact/Approx ModeÎ Graph NumberÏ Graph ModeÐ Replace BatteriesÑ History Pairs, Busy/Pause, Locked VariableIndicator Mea

Page 126

Operating the Calculator 203Angle Mode Shows the units in which angle values are interpreted and displayed. To change the Angle mode, use the 3 key.R

Page 127

Operating the Calculator 204Notes: • To cancel 2, 8, j, or ¤, press the same key again or press a different modifier key.• If the next key you press

Page 128 - Programming Programming

Calculator Home Screen 205Calculator Home ScreenCalculator Home ScreenCalculator Home ScreenCalculator Home ScreenCalculator Home ScreenCalculator Ho

Page 129

Calculator Home Screen 206Parts of the Calculator Home ScreenParts of the Calculator Home ScreenParts of the Calculator Home ScreenParts of the Calcu

Page 130

Calculator Home Screen 207Ï Last AnswerResult of your last entry. Note that results are not displayed on the entry line. Note: 8 ¸ (Approx) was used

Page 131 - Text Operations

Calculator Home Screen 208History AreaHistory AreaHistory AreaHistory AreaThe history area shows up to eight previous entry/answer pairs (depending o

Page 132 - Text Editor

Calculator Home Screen 209Note: An example of viewing a long answer is available. History Information on the Status LineHistory Information on the St

Page 133 - Numeric Solver

Getting Started 21To return the Language mode setting to English, repeat the steps, selecting 1:English in the Language field.Using the Catalog to ac

Page 134

Calculator Home Screen 210Modifying the History AreaModifying the History AreaModifying the History AreaModifying the History AreaSaving the Calculat

Page 135 - Numeric Solver and exit the

Calculator Home Screen 211Note: For information about folders, see the Memory and Variable Management module.3. Press ¸ (after typing in an input box

Page 136 - Number BasesNumber Bases

Calculator Home Screen 2121. Use the Text Editor to open the variable containing the saved calculator Home screen entries.The saved entries are liste

Page 137 - Base mode to HEX

Calculator Home Screen 2131. Use C and D to highlight the item in the history area.2. Press ¸ to auto-paste that item to the entry line.To copy or mo

Page 138 - Base mode to BIN

Calculator Home Screen 214Note: You can cut, copy or paste without having to use the ƒ toolbar menu. Press:@85, 8 6, or 8 7Cutting is not the same as

Page 139 - VAR-LINK screen

Calculator Home Screen 2152. Press ƒ and select 6:Paste, or use the key shortcut:@8 7Example: Copying and PastingExample: Copying and PastingExample:

Page 140

Calculator Home Screen 216b) Press … 1 to select the d (differentiate) function.Note: You can also reuse an expression by creating a user-defined fun

Page 141 - Manage toolbar menu to

Calculator Home Screen 217Reusing a Previous Entry or the Last AnswerReusing a Previous Entry or the Last AnswerReusing a Previous Entry or the Last

Page 142 - Previews 142

Calculator Home Screen 218Note: Reexecuting an entry “as is” is useful for iterative calculations that involve variables.Using the equation A=pr2, us

Page 143

Calculator Home Screen 219Note: When the entry contains a decimal point, the result is automatically displayed in floating-point.Recalling a Previous

Page 144

Getting Started 22Note: Typing a letter takes you to the first command in the list starting with the same letter.Select commands from the Catalog and

Page 145 - Operating the Calculator

Calculator Home Screen 220Recalling the Last AnswerRecalling the Last AnswerRecalling the Last AnswerRecalling the Last AnswerEach time you evaluate

Page 146

Calculator Home Screen 221Auto-Pasting an Entry or Answer from the History Auto-Pasting an Entry or Answer from the History Auto-Pasting an Entry or

Page 147 - Setting the Display Contrast

Calculator Home Screen 222Auto-Pasting an Entry or AnswerAuto-Pasting an Entry or AnswerAuto-Pasting an Entry or AnswerAuto-Pasting an Entry or Answe

Page 148 - The TI-89 Titanium Keyboard

Calculator Home Screen 223Creating and Evaluating User-Defined FunctionsCreating and Evaluating User-Defined FunctionsCreating and Evaluating User-De

Page 149 - Operating the Calculator 149

Calculator Home Screen 224Arguments (x and y in these examples) are placeholders that represent whatever values you pass to the function. They do not

Page 150 - Modifier KeysModifier Keys

Calculator Home Screen 225Creating a Multi-Statement FunctionCreating a Multi-Statement FunctionCreating a Multi-Statement FunctionCreating a Multi-S

Page 151

Calculator Home Screen 226Ì Returns a message if nn is not an integer or if nn{0.Í Sums the reciprocals.Î Returns the sum.When entering a multi-state

Page 152

Calculator Home Screen 227Evaluating a FunctionEvaluating a FunctionEvaluating a FunctionEvaluating a FunctionDisplaying and Editing a Function Defin

Page 153

Calculator Home Screen 228Note: You can view a user-defined function in the CATALOG dialog box, but you cannot use the CATALOG to view or edit its de

Page 154

Calculator Home Screen 229If an Entry or Answer Is “Too Long”If an Entry or Answer Is “Too Long”If an Entry or Answer Is “Too Long”If an Entry or Ans

Page 155

Getting Started 23Example: Insert the comDenom( command on the calculator Home screen entry line.Note: Before selecting a command, position the curso

Page 156 - Entering Numbers

Calculator Home Screen 230For example:Note: This example uses the seq function to generate a sequential list of integers from 1 to 2500.When you see

Page 157 - Evaluated as M(2

Calculator Home Screen 231Turning the Custom Menu On and OffTurning the Custom Menu On and OffTurning the Custom Menu On and OffTurning the Custom Me

Page 158 - Represents 123.45 × 10

Calculator Home Screen 232Note: A custom menu can give you quick access to commonly used items. The Programming module shows you how to create custom

Page 159

Calculator Home Screen 233Finding the Software Version and ID NumberFinding the Software Version and ID NumberFinding the Software Version and ID Num

Page 160

Calculator Home Screen 234The About screen displays the following information about your calculator:• Hardware version• OS (Advanced Mathematics Soft

Page 161 - Type the function name in

Symbolic Manipulation 235Symbolic ManipulationSymbolic ManipulationSymbolic ManipulationSymbolic ManipulationUsing Undefined or Defined VariablesUsin

Page 162

Symbolic Manipulation 236Determining If a Variable Is ExistsDetermining If a Variable Is ExistsDetermining If a Variable Is ExistsDetermining If a Va

Page 163 - Displays last result only

Symbolic Manipulation 237Note: Use 2 ° to view a list of defined variables, as described in Memory and Variable Management.Use the getType function.M

Page 164

Symbolic Manipulation 238Deleting a Defined VariableDeleting a Defined VariableDeleting a Defined VariableDeleting a Defined VariableYou can “undefin

Page 165 - Formats of Displayed Results

Symbolic Manipulation 239Temporarily Overriding a VariableTemporarily Overriding a VariableTemporarily Overriding a VariableTemporarily Overriding a

Page 166

Getting Started 24To exit the Catalog without selecting a command, press N.Calculator Home screenCalculator Home screenCalculator Home screenCalculat

Page 167

Symbolic Manipulation 240Using Exact, Approximate, and Auto ModesUsing Exact, Approximate, and Auto ModesUsing Exact, Approximate, and Auto ModesUsin

Page 168

Symbolic Manipulation 241• With this kind of equation, EXACT will not compute approximate solutions. For example, 2Lx=x has an approximate solution x

Page 169

Symbolic Manipulation 242Functions such as solve and ‰ (integrate) can use both exact symbolic and approximate numeric techniques. These functions sk

Page 170

Symbolic Manipulation 243converting any rational operands to floating-point. In other words, floating-point is “infectious.” For example:1/2 - 1/3 tr

Page 171

Symbolic Manipulation 244Automatic SimplificationAutomatic SimplificationAutomatic SimplificationAutomatic SimplificationWhen you type an expression

Page 172

Symbolic Manipulation 245Products and sums involving undefined variables are sorted according to the first letter of the variable name.- Undefined va

Page 173

Symbolic Manipulation 246How Long Is the Simplification Process?How Long Is the Simplification Process?How Long Is the Simplification Process?How Lon

Page 174

Symbolic Manipulation 247Delayed Simplification for Certain Built-In FunctionsDelayed Simplification for Certain Built-In FunctionsDelayed Simplifica

Page 175 - MenusMenus

Symbolic Manipulation 248Note: You may or may not want to define a numeric value for var, depending on the situation.For example:Note: The example to

Page 176

Symbolic Manipulation 249Substituting Values and Setting ConstraintsSubstituting Values and Setting ConstraintsSubstituting Values and Setting Constr

Page 177

Getting Started 25Ê History area lists the entry/answer pairs entered.Ë Tabs display menus for selecting lists of operations. Press ƒ, „, and so on t

Page 178

Symbolic Manipulation 250Substituting for a Simple ExpressionSubstituting for a Simple ExpressionSubstituting for a Simple ExpressionSubstituting for

Page 179

Symbolic Manipulation 251Note: • For an overview of complex numbers, refer to the Technical Reference module. • To get the complex i, press 2). Do no

Page 180

Symbolic Manipulation 252• Infinite recursions can occur when you define a substitution variable in terms of itself.When you enter a substitution tha

Page 181 - Selecting an Application

Symbolic Manipulation 253Specifying Domain ConstraintsSpecifying Domain ConstraintsSpecifying Domain ConstraintsSpecifying Domain ConstraintsMany ide

Page 182

Symbolic Manipulation 254Note: Enter ln(x†y) instead of ln(xy); otherwise, xy is interpreted as a single variable named xy.Note: For ‚ or , press 8Ã

Page 183

Symbolic Manipulation 255Caution: After x is defined, it can affect all calculations that involve x (until you delete x).Overview of the Algebra Menu

Page 184 - From the Keyboard

Symbolic Manipulation 256Note: For a complete description of each function and its syntax, refer to the Technical Reference module.Menu Item Descript

Page 185 - Setting ModesSetting Modes

Symbolic Manipulation 257Trig Displays the submenu:tExpand — Expands trig expressions with angle sums and multiple angles.TCollect — Collects the pro

Page 186

Symbolic Manipulation 258Note: The left and right functions are also used to return a specified number of elements or characters from the left or rig

Page 187

Symbolic Manipulation 259Factoring and Expanding PolynomialsFactoring and Expanding PolynomialsFactoring and Expanding PolynomialsFactoring and Expan

Page 188

Getting Started 26About the history areaAbout the history areaAbout the history areaAbout the history areaThe history area displays up to eight entry

Page 189

Symbolic Manipulation 260Finding Partial ExpansionsFinding Partial ExpansionsFinding Partial ExpansionsFinding Partial ExpansionsWith the expand („ 3

Page 190 - ¸ to execute the command

Symbolic Manipulation 261To see intermediate results, you can manually solve the equation step-by-step.Note: An operation such as | 2 p subtracts 2x

Page 191 - Using the Catalog Dialog Box

Symbolic Manipulation 262Note: The simult and rref matrix functions are not on the „ Algebra menu. Use 2I4 or the Catalog.Use the simult function wit

Page 192

Symbolic Manipulation 263Finding the Zeros of an ExpressionFinding the Zeros of an ExpressionFinding the Zeros of an ExpressionFinding the Zeros of a

Page 193

Symbolic Manipulation 264Finding Proper Fractions and Common DenominatorsFinding Proper Fractions and Common DenominatorsFinding Proper Fractions and

Page 194

Symbolic Manipulation 265• is the remainder of x4N2x2+x divided by 2x2+x+4.• is the quotient.Overview of the Calc MenuOverview of the Calc MenuOver

Page 195

Symbolic Manipulation 266‰ integrateIntegrates an expression with respect to a specified variable.limit Calculates the limit of an expression with re

Page 196 - User-Defined to access

Symbolic Manipulation 267Note: The d symbol for differentiate is a special symbol. It is not the same as typing the letter D on the keyboard. Use … 1

Page 197

Symbolic Manipulation 268Note: You can integrate an expression only; you can differentiate an expression, list, or matrix.Finding a LimitFinding a Li

Page 198

Symbolic Manipulation 269Finding a Taylor PolynomialFinding a Taylor PolynomialFinding a Taylor PolynomialFinding a Taylor PolynomialUse the taylor (

Page 199

Getting Started 27Interpreting history information on the status lineInterpreting history information on the status lineInterpreting history informat

Page 200 - The variable’s value

Symbolic Manipulation 270For Information about Creating a User-Defined FunctionFor Information about Creating a User-Defined FunctionFor Information

Page 201 - Angle Mode

Symbolic Manipulation 271• Use 9 to create a user-defined secant function, where:• Use Define to create a user-defined function h(x), where:Multi-Sta

Page 202

Symbolic Manipulation 272In some cases, you may be able to create an equivalent single-statement function. For example, consider a piecewise function

Page 203

Symbolic Manipulation 273• Create an equivalent single-statement user-defined function.If You Get an Out-of-Memory ErrorIf You Get an Out-of-Memory E

Page 204

Symbolic Manipulation 274- Clear the history area (, 8) or delete unneeded history pairs.- You can also use ,9 to reduce the number of history pairs

Page 205 - Calculator Home Screen

Symbolic Manipulation 275• Reformulate a problem to avoid fractional powers.• Omit relatively small terms to find an approximation.Special Constants

Page 206

Symbolic Manipulation 276@n1 ... @n255@n1 ... @n255@n1 ... @n255@n1 ... @n255This notation indicates an “arbitrary integer” that represents any integ

Page 207

Symbolic Manipulation 277@1 ... @255@1 ... @255@1 ... @255@1 ... @255ˆ, , , , eThis notation indicates an “arbitrary constant” that represents any in

Page 208

Symbolic Manipulation 278undefundefundefundefThis indicates that the result is undefined.Mathematically undefined„ˆ (undetermined sign)Non-unique lim

Page 209

Constants and Measurement Units 279Constants and Measurement UnitsConstants and Measurement UnitsConstants and Measurement UnitsConstants and Measure

Page 210

Getting Started 28•Enter ClrHome on the calculator Home screen entry line.To delete an entry/answer pair, move the cursor to either the entry or answ

Page 211

Constants and Measurement Units 280From the KeyboardFrom the KeyboardFrom the KeyboardFrom the KeyboardIf you know the abbreviation that the TI-89 Ti

Page 212 - Calculator Home Screen 212

Constants and Measurement Units 281Combining Multiple UnitsCombining Multiple UnitsCombining Multiple UnitsCombining Multiple UnitsYou may need to co

Page 213 - 4:Cut or 5:Copy

Constants and Measurement Units 282Using Parentheses with Units in a CalculationUsing Parentheses with Units in a CalculationUsing Parentheses with U

Page 214

Constants and Measurement Units 283Converting from One Unit to AnotherConverting from One Unit to AnotherConverting from One Unit to AnotherConvertin

Page 215 - Calculator Home Screen 215

Constants and Measurement Units 284If you want to convert to a unit other than the default, use the 4 conversion operator.To convert 4 light years to

Page 216 - Calculator Home Screen 216

Constants and Measurement Units 285If an expression uses a combination of units, you can specify a conversion for some of the units only. Any units f

Page 217

Constants and Measurement Units 286For Temperature ValuesFor Temperature ValuesFor Temperature ValuesFor Temperature ValuesTo convert a temperature v

Page 218

Constants and Measurement Units 287For Temperature RangesFor Temperature RangesFor Temperature RangesFor Temperature RangesTo convert a temperature r

Page 219

Constants and Measurement Units 288If You’re Using the SI or ENG/US SystemIf You’re Using the SI or ENG/US SystemIf You’re Using the SI or ENG/US Sys

Page 220

Constants and Measurement Units 289Notes: • You can also use setUnits( ) or getUnits( ) to set or return information about default units. Refer to th

Page 221

Getting Started 29Select an option, enter any required information, and press ¸. The App appears.Example: Create a new program using the Program Edit

Page 222 - Calculator Home Screen 222

Constants and Measurement Units 290• If the defaults are Area = _acre and Length = _m (meters), area results are shown with _acre units.• If you set

Page 223

Constants and Measurement Units 291Rules for User-Defined Unit NamesRules for User-Defined Unit NamesRules for User-Defined Unit NamesRules for User-

Page 224

Constants and Measurement Units 292Notes: • User-defined units are displayed in lowercase characters, regardless of the case you use to define them.•

Page 225

Constants and Measurement Units 293List of Pre-Defined Constants and UnitsList of Pre-Defined Constants and UnitsList of Pre-Defined Constants and Un

Page 226

Constants and Measurement Units 294Notes: • The calculator simplifies unit expressions and displays results according to your default units. Therefor

Page 227

Constants and Measurement Units 295• These values represent the most up-to-date constants available at time of printing from the CODATA International

Page 228

Constants and Measurement Units 296VolumeVolumeVolumeVolumeTimeTimeTimeTimeVelocityVelocityVelocityVelocity_cup cup _ml milliliter_floz fluid ounce _

Page 229

Constants and Measurement Units 297AccelerationAccelerationAccelerationAccelerationTemperatureTemperatureTemperatureTemperatureLuminous IntensityLumi

Page 230 - Using the Custom Menu

Constants and Measurement Units 298ForceForceForceForceEnergyEnergyEnergyEnergyPowerPowerPowerPower_mg milligram _tonUK long ton_mton metric ton_dyne

Page 231

Constants and Measurement Units 299PressurePressurePressurePressureViscosity, KinematicViscosity, KinematicViscosity, KinematicViscosity, KinematicVi

Page 232

TI-89 Titanium Graphing Calculator 3• Consult the dealer or an experienced radio/television technician for help.Caution: Any changes or modifications

Page 233 - A:About

Getting Started 30The newly created program variable, program1, is saved to the Main folder.¸DDprogram1¸¸Press Result

Page 234

Constants and Measurement Units 300Electric CurrentElectric CurrentElectric CurrentElectric CurrentChargeChargeChargeChargePotentialPotentialPotentia

Page 235 - Symbolic Manipulation

Constants and Measurement Units 301CapacitanceCapacitanceCapacitanceCapacitanceMag Field StrengthMag Field StrengthMag Field StrengthMag Field Streng

Page 236

Basic Function Graphing 302Basic Function GraphingBasic Function GraphingBasic Function GraphingBasic Function GraphingOverview of Steps in Graphing

Page 237 - function

Basic Function Graphing 303Exploring the GraphExploring the GraphExploring the GraphExploring the GraphFrom the Graph screen, you can:• Display the c

Page 238 - Deltype function

Basic Function Graphing 304•Use the ‡ Math toolbar menu to find a zero, minimum, maximum, etc.Setting the Graph ModeSetting the Graph ModeSetting the

Page 239

Basic Function Graphing 305Angle ModeAngle ModeAngle ModeAngle ModeWhen using trigonometric functions, set the Angle mode for the units (RADIAN, DEGR

Page 240

Basic Function Graphing 306the current graphing mode. For example, in POLAR graphing mode, function names are r1(q), r2(q), etc.)Defining a New Funct

Page 241 - • Take more computing time

Basic Function Graphing 307The function list now shows the new function, which is automatically selected for graphing.Note: If you accidentally move

Page 242

Basic Function Graphing 308Clearing a FunctionClearing a FunctionClearing a FunctionClearing a FunctionFrom the Y= Editor:Note: ƒ 8 does not erase an

Page 243

Basic Function Graphing 309From the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or

Page 244 - Automatic Simplification

Getting Started 31Returning to the Apps desktop from within an AppReturning to the Apps desktop from within an AppReturning to the Apps desktop from

Page 245

Basic Function Graphing 310You don’t have to select a function when you enter or edit it; it is selected automatically. To turn off any stat plots, p

Page 246

Basic Function Graphing 311•Use the FnOn and FnOff commands (available from the Home screen’s † Other toolbar menu) for functions. Refer to the Techn

Page 247

Basic Function Graphing 3123. To make a change, select the applicable style.To set Line as the style for all functions, press ‡ and select 4:Reset St

Page 248 - For example:

Basic Function Graphing 313From the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or

Page 249

Basic Function Graphing 314To turn off tick marks, set xscl=0 and/or yscl=0. Small values of xres improve the graph’s resolution but may reduce the g

Page 250

Basic Function Graphing 315From the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or

Page 251

Basic Function Graphing 316To turn off tick marks, define the viewing window so that xscl and/or yscl = 0.Changing SettingsChanging SettingsChanging

Page 252 - Symbolic Manipulation 252

Basic Function Graphing 3174. After changing all applicable format settings, press ¸ to save your changes and close the GRAPH FORMATS dialog box.Note

Page 253 - is not always valid

Basic Function Graphing 318• To pause graphing temporarily, press ¸. (The PAUSE indicator replaces BUSY.) To resume, press ¸ again.• To cancel graphi

Page 254 - is not always valid, the

Basic Function Graphing 319• Changed a stat plot definition.Displaying Coordinates with the Free-Moving CursorDisplaying Coordinates with the Free-Mo

Page 255 - Overview of the Algebra Menu

Getting Started 32Example: Select the All category. If you select an Apps category containing no Apps, a message appears to confirm that the category

Page 256 - 3 to set

Basic Function Graphing 320Note: To hide the cursor and its coordinates temporarily, press M, N, or ¸. The next time you move the cursor, it moves fr

Page 257

Basic Function Graphing 321Tracing a FunctionTracing a FunctionTracing a FunctionTracing a FunctionTo display the exact coordinates of any plotted po

Page 258 - Common Algebraic Operations

Basic Function Graphing 322Note: If you enter an x value, it must be between xmin and xmax.The trace cursor moves only from plotted point to plotted

Page 259

Basic Function Graphing 323Moving from Function to FunctionMoving from Function to FunctionMoving from Function to FunctionMoving from Function to Fu

Page 260

Basic Function Graphing 324Using QuickCenterUsing QuickCenterUsing QuickCenterUsing QuickCenterIf you trace a function off the top or bottom of the v

Page 261

Basic Function Graphing 325Using Zooms to Explore a GraphUsing Zooms to Explore a GraphUsing Zooms to Explore a GraphUsing Zooms to Explore a GraphTh

Page 262 - or the Catalog

Basic Function Graphing 326@x and @y are the distances from the center of one pixel to the center of an adjoining pixel.ZoomStd Sets Window variables

Page 263

Basic Function Graphing 327Zooming In with a Zoom BoxZooming In with a Zoom BoxZooming In with a Zoom BoxZooming In with a Zoom Box1. From the „ Zoom

Page 264

Basic Function Graphing 328 Zooming In and Out on a Point Zooming In and Out on a Point Zooming In and Out on a Point Zooming In and Out on a Point•F

Page 265 - Overview of the Calc Menu

Basic Function Graphing 3291. From the „ Zoom menu, select C:SetFactors to display the ZOOM FACTORS dialog box.Note: To exit without saving any chang

Page 266 - Π product

Getting Started 33Customizing the Apps Customizing the Apps Customizing the Apps Customizing the Apps categoriescategoriescategoriescategoriesThe TI-

Page 267 - Common Calculus Operations

Basic Function Graphing 330Note: You can store only one set of Window variable values at a time. Storing a new set overwrites the old set.Restoring t

Page 268

Basic Function Graphing 331Overview of the Math MenuOverview of the Math MenuOverview of the Math MenuOverview of the Math MenuPress ‡ from the Graph

Page 269

Basic Function Graphing 332Note: For Math results, cursor coordinates are stored in system variables xc and yc (rc and qc if you use polar coordinate

Page 270 - Symbolic Manipulation 270

Basic Function Graphing 333You can also display function coordinates by tracing the function (…), typing an x value, and pressing ¸.Finding a Zero, M

Page 271

Basic Function Graphing 3345. Press ¸. A 4 at the top of the screen marks the lower bound.Finding the Derivative (Slope) at a PointFinding the Deriva

Page 272

Basic Function Graphing 3353. Set the lower limit for x. Either use A and B to move the cursor to the lower limit or type its x value.4. Press ¸. A 4

Page 273

Basic Function Graphing 3362. As necessary, use D and C to select the function for the first point.3. Set the first point. Either use A or B to move

Page 274

Basic Function Graphing 337Finding an Arc LengthFinding an Arc LengthFinding an Arc LengthFinding an Arc Length1. From the Graph screen, press ‡ and

Page 275 - 5<3 is false

Basic Function Graphing 3383. Set the lower bound for x. Either use A and B to move the cursor to the lower bound or type its x value.Note: If you do

Page 276

Basic Function Graphing 3396. Set the lower bound for x. Either use A and B to move the cursor to the lower bound or type its x value.Note: If you do

Page 277

Getting Started 34Example: Replace the Social Studies category with the Business category and add the CellSheet and Finance App shortcuts. Press Res

Page 278 - „ˆ (undetermined sign)

Polar Graphing 340Polar GraphingPolar GraphingPolar GraphingPolar GraphingOverview of Steps in Graphing Polar EquationsOverview of Steps in Graphing

Page 279 - Entering Constants or Units

Polar Graphing 341Exploring the GraphExploring the GraphExploring the GraphExploring the GraphFrom the Graph screen, you can:• Display the coordinate

Page 280

Polar Graphing 342•Use the „ Zoom toolbar menu to zoom in or out on a portion of the graph.•Use the ‡Math toolbar menu to find derivatives, tangents,

Page 281

Polar Graphing 343You can use the Define command from the Home screen (see the Technical Reference module) to define functions and equations for any

Page 282

Polar Graphing 344Note: You can use a negative qstep. If so, qmin must be greater than qmax.Standard values (set when you select 6:ZoomStd from the „

Page 283

Polar Graphing 345ƒ 9– or –8 Íto set Coordinates = POLAR. If Coordinates = RECT, the polar equations will be graphed properly, but coordinates will b

Page 284

Polar Graphing 346During a trace, you can also evaluate r(q) by typing the q value and pressing ¸.Note: You can use QuickCenter at any time during a

Page 285

Parametric Graphing 347Parametric GraphingParametric GraphingParametric GraphingParametric GraphingOverview of Steps in Graphing Parametric Overview

Page 286

Parametric Graphing 348Exploring the GraphExploring the GraphExploring the GraphExploring the GraphFrom the Graph screen, you can:• Display the coord

Page 287

Parametric Graphing 349•Use the „ Zoom toolbar menu to zoom in or out on a portion of the graph.•Use the ‡Math toolbar menu to find derivatives, tang

Page 288

Getting Started 352 ™¤Bus inessD©BD©BPress Result

Page 289

Parametric Graphing 350Be careful when using implied multiplication with t. For example:Note: When using t, be sure implied multiplication is valid f

Page 290

Parametric Graphing 351Selecting the Display StyleSelecting the Display StyleSelecting the Display StyleSelecting the Display StyleYou can set the st

Page 291 - _ or a digit. For

Parametric Graphing 352Standard values (set when you select 6:ZoomStd from the „ Zoom toolbar menu) are:You may need to change the standard values fo

Page 292

Parametric Graphing 353„ ZoomWorks just as it does for function graphs, with the following exceptions:•Only x (xmin, xmax, xscl) and y (ymin, ymax, y

Page 293

Sequence Graphing 354Sequence GraphingSequence GraphingSequence GraphingSequence GraphingOverview of Steps in Graphing SequencesOverview of Steps in

Page 294

Sequence Graphing 355Exploring the GraphExploring the GraphExploring the GraphExploring the GraphFrom the Graph screen, you can:• Display the coordin

Page 295

Sequence Graphing 356Differences in Sequence and Function GraphingDifferences in Sequence and Function GraphingDifferences in Sequence and Function G

Page 296

Sequence Graphing 357If a sequence requires an initial value but you do not enter one, you will get an error when graphing.On the Y= Editor, Axes let

Page 297

Sequence Graphing 358Selecting SequencesSelecting SequencesSelecting SequencesSelecting SequencesWith TIME and WEB axes, the TI-89 Titanium graphs on

Page 298

Sequence Graphing 359Window VariablesWindow VariablesWindow VariablesWindow VariablesThe Window Editor maintains an independent set of Window variabl

Page 299

Getting Started 36Open Apps and split-screen statusOpen Apps and split-screen statusOpen Apps and split-screen statusOpen Apps and split-screen statu

Page 300

Sequence Graphing 360Standard values (set when you select 6:ZoomStd from the „ Zoom toolbar menu) are:You may need to change the standard values for

Page 301

Sequence Graphing 361With TIME axes (from Axes on the Y= Editor), you can set plotstrt = 1 and still graph only a selected part of the sequence. Simp

Page 302 - Basic Function Graphing

Sequence Graphing 362„ ZoomWorks just as it does for function graphs.•Only x (xmin, xmax, xscl) and y (ymin, ymax, yscl) Window variables are affecte

Page 303 - Basic Function Graphing 303

Sequence Graphing 363During a trace, you can evaluate a sequence by typing a value for n and pressing ¸. You can use QuickCenter at any time during a

Page 304 - Setting the Graph Mode

Sequence Graphing 364To change any of these settings, use the same procedure that you use to change other types of dialog boxes, such as the MODE dia

Page 305

Sequence Graphing 365•Draws a y=x reference line.• Plots the selected sequence definitions as functions, with u(nN1) as the independent variable. Thi

Page 306

Sequence Graphing 3663. Moves horizontally to the y=x reference line.4. Repeats this vertical and horizontal movement until n=nmax.Note: The web star

Page 307 - Basic Function Graphing 307

Sequence Graphing 3676. On the Window Editor, change the Window variables.8. Press …. As you press B, the trace cursor follows the web. The screen di

Page 308

Sequence Graphing 368Example: DivergenceExample: DivergenceExample: DivergenceExample: Divergence1. On the Y= Editor (8 #), define u1(n) = 3.2u1(nN1

Page 309 - Selecting Functions to Graph

Sequence Graphing 369Example: OscillationExample: OscillationExample: OscillationExample: OscillationThis example shows how the initial value can aff

Page 310 - • Select the applicable item

Getting Started 37To return to the Apps desktop, press O. The split-screen status appears at the top of the Apps desktop with the names of the open A

Page 311 - Style menu and press: 2 ˆ

Sequence Graphing 3706. On the Window Editor (8$), set the Window variables.8. Press …. Then use B to trace the web.As you trace to larger values of

Page 312

Sequence Graphing 371Example: Predator-Prey ModelExample: Predator-Prey ModelExample: Predator-Prey ModelExample: Predator-Prey ModelUsing the predat

Page 313 - Defining the Viewing Window

Sequence Graphing 3723. On the Window Editor (8$), set the Window variables.5. On the Y= Editor, set Axes = CUSTOM, XAxis=u1, and YAxis=u2.6. On the

Page 314

Sequence Graphing 373Using a Sequence to Generate a TableUsing a Sequence to Generate a TableUsing a Sequence to Generate a TableUsing a Sequence to

Page 315 - Changing the Graph Format

Sequence Graphing 3743. Set Window variables (8$) so that nmin has the same value as tblStart.4. Display the table (8').5. Scroll down the table

Page 316

3D Graphing 3753D Graphing3D Graphing3D Graphing3D GraphingOverview of Steps in Graphing 3D EquationsOverview of Steps in Graphing 3D EquationsOvervi

Page 317

3D Graphing 376Exploring the GraphExploring the GraphExploring the GraphExploring the GraphFrom the Graph screen, you can:• Trace the equation.•Use t

Page 318 - ReGraph)

3D Graphing 377Differences in 3D and Function GraphingDifferences in 3D and Function GraphingDifferences in 3D and Function GraphingDifferences in 3D

Page 319

3D Graphing 378• When you return to FUNCTION graphing mode, your y(x) functions are still defined in the Y= Editor. When you return to 3D graphing mo

Page 320

3D Graphing 379xmin, xmax,ymin, ymax,zmin, zmaxBoundaries of the viewing cube.xgrid, ygrid The distance between xmin and xmax and between ymin and ym

Page 321 - Tracing a Function

Getting Started 38More information is available about using split screens. (For more information, see the electronic Split Screens chapter.) Checking

Page 322

3D Graphing 380Note: If you enter a fractional number for xgrid or ygrid, it is rounded to the nearest whole number | 1. The 3D mode does not have sc

Page 323 - Basic Function Graphing 323

3D Graphing 3818 Íto set Coordinates = POLAR.Tool For 3D Graphs:Free-Moving CursorThe free-moving cursor is not available.„ ZoomWorks essentially the

Page 324 - Basic Function Graphing 324

3D Graphing 382Note: During a trace, you can also evaluate z(x,y). Type the x value and press ¸; then type the y value and press ¸. Moving the Cursor

Page 325

3D Graphing 383Note: You can move the cursor only within the x and y boundaries set by Window variables xmin, xmax, ymin, and ymax.Although the rules

Page 326

3D Graphing 384By displaying and labeling the axes, you can more easily see the pattern in the cursor movement. To move grid points closer together,

Page 327

3D Graphing 385For example, consider a saddle shape z1(x,y) = (x2Ny2) / 3. The following graph shows the view looking down the y axis.Now look at the

Page 328

3D Graphing 386For example, suppose you trace the paraboloid z(x,y) = x2+.5y2 graphed with the indicated Window variables. You can easily move the cu

Page 329

3D Graphing 387How the Viewing Angle Is MeasuredHow the Viewing Angle Is MeasuredHow the Viewing Angle Is MeasuredHow the Viewing Angle Is MeasuredNo

Page 330

3D Graphing 388Effect of Changing eyeEffect of Changing eyeEffect of Changing eyeEffect of Changing eyeq thetathetathetathetaThe view on the Graph

Page 331 - Overview of the Math Menu

3D Graphing 389Effect of Changing eyeEffect of Changing eyeEffect of Changing eyeEffect of Changing eyef phi phi phi phiBy changing eyef, you can ele

Page 332

Getting Started 39Turning off the Apps desktopTurning off the Apps desktopTurning off the Apps desktopTurning off the Apps desktopYou can turn off th

Page 333 - Basic Function Graphing 333

3D Graphing 390Note: During rotation, the axes expand or contract to fit the screen’s width and height. This causes some distortion as shown in the e

Page 334 - Basic Function Graphing 334

3D Graphing 391As the z axis rotates 90¡, its range (L10 to 10 in this example) expands to almost twice its original length. Likewise, the x and y ax

Page 335 - Basic Function Graphing 335

3D Graphing 392Note: The viewing orbit affects the eye Window variables in differing amounts.Animating the GraphAnimating the GraphAnimating the Grap

Page 336 - + marks the point

3D Graphing 393• After animating the graph, you can stop and then re-start the animation in the same direction by pressing:¸ or j• During an animati

Page 337

3D Graphing 394– or -8 ÍTo change any of these settings, use the same procedure that you use to change other types of dialog boxes, such as the MODE

Page 338

3D Graphing 395Note: Setting Labels = ON is helpful when you display either type of 3D axes.Examples of Style SettingsExamples of Style SettingsExamp

Page 339

3D Graphing 396Optical illusions may be more noticeable with box axes. For example, it may not be immediately obvious which is the “front” of the box

Page 340 - Polar GraphingPolar Graphing

3D Graphing 397Selecting the Graph Format StyleSelecting the Graph Format StyleSelecting the Graph Format StyleSelecting the Graph Format StyleIn 3D

Page 341 - Polar Graphing 341

3D Graphing 398format as it does if you use: 8 Í Note: These examples use the same x, y, and z Window variable values as a ZoomStd viewing cube. If y

Page 342

3D Graphing 399How Are Z Values Determined?How Are Z Values Determined?How Are Z Values Determined?How Are Z Values Determined?You can set the nconto

Page 343

Getting Started 4Getting StartedGetting StartedGetting StartedGetting StartedInitial start-up Initial start-up Initial start-up Initial start-up Inst

Page 344

Getting Started 40To turn on the Apps desktop, repeat the procedure, selecting ON in the Apps Desktop mode field. To return to the Apps desktop from

Page 345

3D Graphing 400Drawing a Contour for the Z Value of a Selected Point InteractivelyDrawing a Contour for the Z Value of a Selected Point Interactively

Page 346

3D Graphing 401Drawing Contours for Specified Z ValuesDrawing Contours for Specified Z ValuesDrawing Contours for Specified Z ValuesDrawing Contours

Page 347 - Parametric Graphing

3D Graphing 402• Because of possible long evaluation times, you first may want to experiment with your 3D equation by using Style=WIRE FRAME. The eva

Page 348 - Parametric Graphing 348

3D Graphing 4035. Press 8% to graph the equation.It will take awhile to evaluate the graph; so be patient. When the graph is displayed, the complex m

Page 349

3D Graphing 404Notes:• For more accurate estimates, increase the xgrid and ygrid Window variables. However, this increases the graph evaluation time.

Page 350

3D Graphing 405By using implicit plots in 3D graphing mode, you can graph these implicit forms without solving for y or x.Notes: You can also graph m

Page 351

3D Graphing 406Note: From the Graph screen, you can switch to the other graph format styles by pressing:Í However, to return to IMPLICIT PLOT press:8

Page 352

3D Graphing 407Note: These examples use the same x, y, and z Window variable values as a ZoomStd viewing cube. If you use ZoomStd, press Z to look do

Page 353

3D Graphing 408ExampleExampleExampleExampleGraph the equation sin(x4+y–x3 y) = .1.1. Use 3 to set Graph=3D.2. Press 8#, and define the equation:z1(x,

Page 354 - Sequence Graphing

3D Graphing 409Note: When you animate the graph, the screen changes to normal view. Press p to switch between normal and expanded views.6. Use the cu

Page 355

Getting Started 41The clock is turned on by default. If you turn off the clock, all Clock dialog box options except Clock ON/OFF are grayed out. Disp

Page 356

Differential Equation Graphing 410Differential Equation GraphingDifferential Equation GraphingDifferential Equation GraphingDifferential Equation Gra

Page 357

Differential Equation Graphing 4114. Set the display style for a function.@2 ˆ5. Set the graph format. Solution Method and Fields are unique to diffe

Page 358

Differential Equation Graphing 412Differences in Diff Equations and Function GraphingDifferences in Diff Equations and Function GraphingDifferences i

Page 359

Differential Equation Graphing 413Note: You can use the Define command from the Home screen to define functions and equations.When entering equations

Page 360

Differential Equation Graphing 414Selecting the Display StyleSelecting the Display StyleSelecting the Display StyleSelecting the Display StyleWith th

Page 361

Differential Equation Graphing 415Important: The Fields graph format is critical in successfully graphing differential equations. Note: If you press

Page 362

Differential Equation Graphing 416Window VariablesWindow VariablesWindow VariablesWindow VariablesDifferential equation graphs use the following Wind

Page 363

Differential Equation Graphing 417Note: If tmax < t0, tstep must be negative. If Fields=SLPFLD, tplot is ignored and is assumed to be the same ast

Page 364 - Using Web Plots

Differential Equation Graphing 418When ncurves is used, t0 is set temporarily at the middle of the screen and initial conditions are distributed even

Page 365

Differential Equation Graphing 419Standard values (set when you select 6:ZoomStd from the „ Zoom toolbar menu) are:You may need to change the standar

Page 366

Getting Started 426. If the time format is 24 hours, proceed to step 9.— or —If the time format is 12 hours, press D to highlight the AM/PM field.7.

Page 367

Differential Equation Graphing 420Note: During a trace, you can move the cursor to a particular point by typing a value for t and pressing ¸. You can

Page 368

Differential Equation Graphing 421Setting the Initial ConditionsSetting the Initial ConditionsSetting the Initial ConditionsSetting the Initial Condi

Page 369

Differential Equation Graphing 422If You Do Not Enter an Initial Condition in the Y= EditorIf You Do Not Enter an Initial Condition in the Y= EditorI

Page 370 - Using Custom Plots

Differential Equation Graphing 423Selecting an Initial Condition Interactively from the Graph ScreenSelecting an Initial Condition Interactively from

Page 371

Differential Equation Graphing 424Note: With SLPFLD or DIRFLD, you can select initial conditions interactively regardless of whether you enter initia

Page 372

Differential Equation Graphing 425Defining a System for Higher-Order EquationsDefining a System for Higher-Order EquationsDefining a System for Highe

Page 373

Differential Equation Graphing 426d) On the left side of the equation, substitute for the derivative value as shown below.In place of: Substitute:yy&

Page 374 - Fibonacci sequence is

Differential Equation Graphing 427Note: Based on the above substitutions, the y' lines in the Y= Editor represent:y1' = y'y2' = y

Page 375 - 3D Graphing3D Graphing

Differential Equation Graphing 428ExampleExampleExampleExample1. Press 3 and set Graph=DIFF EQUATIONS.2. Define a system of equations for the 2nd-ord

Page 376

Differential Equation Graphing 429If you select ZoomSqr („ 5), you can see that the phase-plane orbit is actually a circle. However, ZoomSqr will cha

Page 377

Getting Started 439. Type the day, then press ¸ ¸ to save your settings and exit. The date is updated in the top right corner of the Apps desktop.Exa

Page 378

Differential Equation Graphing 430To examine this harmonic oscillator in more detail, use a split screen to graph the manner in which y and y' c

Page 379

Differential Equation Graphing 431Example of a 3rd-Order EquationExample of a 3rd-Order EquationExample of a 3rd-Order EquationExample of a 3rd-Order

Page 380

Differential Equation Graphing 432ExampleExampleExampleExample1. Press 3 and set Graph=DIFF EQUATIONS.2. Define a system of equations for the 3rd-ord

Page 381

Differential Equation Graphing 4336. Press: ,9 — or —@8ÍSet Axes = ON, Labels = ON, Solution Method = RK, and Fields = FLDOFF.Important: For 3rd- or

Page 382 - Moving the Cursor in 3D

Differential Equation Graphing 434Setting Axes for Time or Custom PlotsSetting Axes for Time or Custom PlotsSetting Axes for Time or Custom PlotsSett

Page 383 - 3D Graphing 383

Differential Equation Graphing 435Note: t is not valid for either Axis when Fields=DIRFLD. If you select t, an Invalid axes error occurs when graphin

Page 384

Differential Equation Graphing 436Predator-Prey ModelPredator-Prey ModelPredator-Prey ModelPredator-Prey ModelUse the two coupled 1st-order different

Page 385

Differential Equation Graphing 4374. In the Y= Editor, press: @2 ‰ Set Axes = TIME.5. In the Window Editor (8$), set the Window variables.t0=0tmax=10

Page 386

Differential Equation Graphing 4388. Return to the Y= Editor. Press:,9— or —@8ÍSet Fields = DIRFLD.Note: In this example, DIRFLD is used for two rela

Page 387

Differential Equation Graphing 439Example Comparison of RK and EulerExample Comparison of RK and EulerExample Comparison of RK and EulerExample Compa

Page 388

Getting Started 4430 DBD¸DPress Result

Page 389

Differential Equation Graphing 4402. Express the 1st-order equation in terms of y1' and y1.y1'=.001y1ù(100Ny1)3. Enter the equation in the

Page 390

Differential Equation Graphing 441Ê Important: Change tstep from .1 (its default) to 1. Otherwise, BldData calculates too many rows for the data vari

Page 391 - F] or 8 c Ú, respectively

Differential Equation Graphing 44210. Use the Data/Matrix Editor (O) to create a new data variable named errorlog.Note: errorlog lets you combine the

Page 392

Differential Equation Graphing 44315. The exact solution to the differential equation is given below. Enter it as y1.y1 = (100ùe^(x/10))/(e^(x/10)+9)

Page 393 - 3D Graphing 393

Differential Equation Graphing 444By moving the trace cursor to trace each solution to xc = 40, you can find that:• The exact solution (y1) is 85.848

Page 394

Differential Equation Graphing 445ExampleExampleExampleExampleFor a general solution, use the following syntax. For a particular solution, refer to t

Page 395 - 3D Graphing 395

Differential Equation Graphing 446Before using deSolve( ), clear any existing t and y variables. Otherwise, an error occurs.1. In the Home screen @ &

Page 396 - Contour PlotsContour Plots

Differential Equation Graphing 447You can also use deSolve( ) to solve this problem directly. Enter:deSolve(y' = 1/1000 yù(100Ny) and y(0)=10,t,

Page 397 - Style = WIRE AND CONTOUR

Differential Equation Graphing 448 When you see this or any other error message:• For your order of equation, use the previous table to find the vali

Page 398

Differential Equation Graphing 449Fields=SLPFLDFields=SLPFLDFields=SLPFLDFields=SLPFLDIn the Y= EditorUse † to select one and only one 1st-order equa

Page 399

Getting Started 45BD¸D2002Press Result

Page 400 - Draw menu, press:

Differential Equation Graphing 450Fields=DIRFLDFields=DIRFLDFields=DIRFLDFields=DIRFLDIn the Y= EditorEnter a valid system of two 1st-order equations

Page 401

Differential Equation Graphing 451Fields=FLDOFFFields=FLDOFFFields=FLDOFFFields=FLDOFFIn the Graph screenIf the direction field is drawn but no curve

Page 402

Differential Equation Graphing 452If You Use the Table Screen to View Differential EquationsIf You Use the Table Screen to View Differential Equation

Page 403

Differential Equation Graphing 453

Page 404 - Implicit PlotsImplicit Plots

Tables 454TablesTablesTablesTablesOverview of Steps in Generating a TableOverview of Steps in Generating a TableOverview of Steps in Generating a Tab

Page 405

Tables 455Exploring the TableExploring the TableExploring the TableExploring the TableFrom the Table screen, you can:• Scroll through the table to se

Page 406

Tables 456Displaying the TABLE SETUP Dialog BoxDisplaying the TABLE SETUP Dialog BoxDisplaying the TABLE SETUP Dialog BoxDisplaying the TABLE SETUP D

Page 407 - 3D Graphing 407

Tables 457Note: The table initially starts at tblStart, but you can use C to scroll to prior values.Which Setup Parameters to UseWhich Setup Paramete

Page 408

Tables 4581. Use D and C to highlight the value or setting to change.2. Specify the new value or setting.Note: To cancel a menu or exit the dialog bo

Page 409

Tables 459•Set Graph < - > Table and Independent by using the setTable function. Refer to the Technical Reference module.Displaying an Automati

Page 410

Getting Started 46DBScroll down to October and press ¸D19Press Result

Page 411

Tables 460Note: You can scroll back from the starting value by pressing C or 2C.The header row and the first column are fixed so that they cannot scr

Page 412

Tables 461Changing the Cell WidthChanging the Cell WidthChanging the Cell WidthChanging the Cell WidthCell width determines the maximum number of dig

Page 413

Tables 462• If a number’s magnitude is too large for the current cell width, the number is rounded and shown in scientific notation.• If the cell wid

Page 414

Tables 463If Results are Complex NumbersIf Results are Complex NumbersIf Results are Complex NumbersIf Results are Complex NumbersA cell shows as muc

Page 415

Tables 4644. Press ¸ to save the edited function and update the table. The edited function is also saved in the Y= Editor.If You Want to Change the S

Page 416

Tables 465If you first display an automatic table and then change it to Independent = ASK, the table continues to show the same values. However, you

Page 417

Tables 466Note: In this example, you can move the cursor to column 2, but you can enter values in column 1 only.Entering a List in the Independent Va

Page 418

Tables 467Adding, Deleting, or ClearingAdding, Deleting, or ClearingAdding, Deleting, or ClearingAdding, Deleting, or ClearingCell Width and Display

Page 419

Tables 468

Page 420

Additional Graphing Topics 469Additional Graphing TopicsAdditional Graphing TopicsAdditional Graphing TopicsAdditional Graphing TopicsCollecting Data

Page 421

Getting Started 47Turning off the clockTurning off the clockTurning off the clockTurning off the clockFrom the Apps desktop, open the CLOCK dialog bo

Page 422

Additional Graphing Topics 470Note: Use a split screen to show a graph and the Home screen or Data/Matrix Editor at the same time.Notes about SysData

Page 423

Additional Graphing Topics 471• If the Graph screen contains a function or stat plot that references the current contents of sysData, this command wi

Page 424

Additional Graphing Topics 472Copying from the Home Screen to the Y= EditorCopying from the Home Screen to the Y= EditorCopying from the Home Screen

Page 425

Additional Graphing Topics 473Graphing Directly from the Home ScreenGraphing Directly from the Home ScreenGraphing Directly from the Home ScreenGraph

Page 426

Additional Graphing Topics 474Note: Graph uses the current Window variable settings and is available from the Home screen’s † toolbar menu.Graph does

Page 427

Additional Graphing Topics 475• Execute the ClrGraph command (available from the Home screen’s † Other toolbar menu).– or –• Display the Y= Editor. T

Page 428

Additional Graphing Topics 476two-piece functions. For three or more pieces, it may be easier to create a multi-statement, user-defined function.Usin

Page 429

Additional Graphing Topics 477Note: To enter when, type it or use the CATALOG.where:Nested functions quickly become complex and difficult to visualiz

Page 430

Additional Graphing Topics 478For example, consider the previous three-piece function.Note: For information about similarities and differences betwee

Page 431

Additional Graphing Topics 479From the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen

Page 432

Getting Started 48To turn on the clock, repeat the procedure, selecting ON in the Clock field. Remember to reset the time and date.¸Scroll down to th

Page 433

Additional Graphing Topics 480Examples Using the Y= EditorExamples Using the Y= EditorExamples Using the Y= EditorExamples Using the Y= EditorEnter t

Page 434

Additional Graphing Topics 481Simultaneous Graphs with ListsSimultaneous Graphs with ListsSimultaneous Graphs with ListsSimultaneous Graphs with List

Page 435

Additional Graphing Topics 482Using the Two-Graph ModeUsing the Two-Graph ModeUsing the Two-Graph ModeUsing the Two-Graph ModeIn two-graph mode, the

Page 436

Additional Graphing Topics 4834. Press ¸ to close the dialog box.The Two-Graph ScreenThe Two-Graph ScreenThe Two-Graph ScreenThe Two-Graph ScreenA tw

Page 437

Additional Graphing Topics 484• Window Editor variables.• Table setup parameters and Table screens.• Graph formats such as Coordinates, Axes, etc.• G

Page 438

Additional Graphing Topics 485• Suppose Graph 1 and Graph 2 are set for function graphing. Although both sides show the same function list, you can s

Page 439

Additional Graphing Topics 486- Use 3 to set Number of Graphs = 1, or exit the split screen by setting Split Screen = FULL.– or –- Press 2 K twice. T

Page 440

Additional Graphing Topics 487To switch the active sides, press 2 a or use the switch function, switch(1) or switch(2).Drawing a Function or Inverse

Page 441

Additional Graphing Topics 488Drawing the Inverse of a FunctionDrawing the Inverse of a FunctionDrawing the Inverse of a FunctionDrawing the Inverse

Page 442

Additional Graphing Topics 4891. On the Graph screen, press: 2 ˆ and select 3:DrawInvTo display the Home screen and put DrawInv in the entry line, pr

Page 443

Getting Started 49Using menusUsing menusUsing menusUsing menusTo select most TI-89 Titanium menus, press the function keys corresponding to the toolb

Page 444

Additional Graphing Topics 490From the Graph screen:Note: You can also enter ClrDraw on the Home screen’s entry line.You can also do anything that ca

Page 445

Additional Graphing Topics 491Drawing a Point or a Freehand LineDrawing a Point or a Freehand LineDrawing a Point or a Freehand LineDrawing a Point o

Page 446

Additional Graphing Topics 492Erasing Individual Parts of a Drawing ObjectErasing Individual Parts of a Drawing ObjectErasing Individual Parts of a D

Page 447

Additional Graphing Topics 4932. Move the cursor to the 1st point, and press ¸.3. Move to the 2nd point, and press ¸. (As you move, a line extends fr

Page 448

Additional Graphing Topics 494Drawing a Horizontal or Vertical LineDrawing a Horizontal or Vertical LineDrawing a Horizontal or Vertical LineDrawing

Page 449 - Fields=SLPFLDFields=SLPFLD

Additional Graphing Topics 4952. As necessary, use D and C to select the applicable function.Note: To set the tangent point, you can also type its x

Page 450 - Fields=DIRFLDFields=DIRFLD

Additional Graphing Topics 496Typing Text LabelsTyping Text LabelsTyping Text LabelsTyping Text LabelsFrom the Graph screen:1. 2 ‰ and select 7:Text.

Page 451 - Fields=FLDOFFFields=FLDOFF

Additional Graphing Topics 497Saving and Opening a Picture of a GraphSaving and Opening a Picture of a GraphSaving and Opening a Picture of a GraphSa

Page 452

Additional Graphing Topics 498Saving a Portion of the Graph ScreenSaving a Portion of the Graph ScreenSaving a Portion of the Graph ScreenSaving a Po

Page 453

Additional Graphing Topics 499Opening a Graph PictureOpening a Graph PictureOpening a Graph PictureOpening a Graph PictureWhen you open a graph pictu

Page 454

Getting Started 5Turning on your Turning on your Turning on your Turning on your TI-89 TitaniumTI-89 TitaniumTI-89 TitaniumTI-89 Titanium for the fir

Page 455 - Tables 455

Getting Started 50Selecting menu optionsSelecting menu optionsSelecting menu optionsSelecting menu options• Press the number or letter to the left of

Page 456

Additional Graphing Topics 500Deleting a Graph PictureDeleting a Graph PictureDeleting a Graph PictureDeleting a Graph PictureUnwanted Picture variab

Page 457 - Graph screen

Additional Graphing Topics 501ExampleExampleExampleExampleThis example program (named cyc) generates 10 views of a 3D graph, with each view rotated 1

Page 458

Additional Graphing Topics 502Technical Reference module. For information about using the Program Editor, refer to Programming.Program Listing Every

Page 459 - Displaying an Automatic Table

Additional Graphing Topics 503Comments start with ¦. Press:8 dNote: Due to its complexity, this program takes several minutes to run.After entering t

Page 460

Additional Graphing Topics 504A graph database does not include drawn objects or stat plots.Note: In two-graph mode, the elements for both graphs are

Page 461 - Tables 461

Additional Graphing Topics 505From the Y= Editor, Window Editor, Table screen, or Graph screen:Deleting a Graph DatabaseDeleting a Graph DatabaseDele

Page 462

Split Screens 506Split ScreensSplit ScreensSplit ScreensSplit ScreensSetting and Exiting the Split Screen ModeSetting and Exiting the Split Screen Mo

Page 463 - Tables 463

Split Screens 507Setting the Initial ApplicationsSetting the Initial ApplicationsSetting the Initial ApplicationsSetting the Initial ApplicationsIf y

Page 464 - Building a Manual (Ask) Table

Split Screens 508Other Modes that Affect a Split ScreenOther Modes that Affect a Split ScreenOther Modes that Affect a Split ScreenOther Modes that A

Page 465

Split Screens 509Voyage™ 200:Exiting the Split Screen ModeExiting the Split Screen ModeExiting the Split Screen ModeExiting the Split Screen ModeTOP–

Page 466

Getting Started 51Example: Select factor( from the Algebra menu on the calculator Home screen.Press ResultPress:"– or –From the Apps desktop, us

Page 467

Split Screens 510When You Turn Off the CalculatorWhen You Turn Off the CalculatorWhen You Turn Off the CalculatorWhen You Turn Off the CalculatorTurn

Page 468 - Tables 468

Split Screens 511Split screen indicator DescriptionTop-bottom split screen• 1 indicates the application that will appear in the top portion of the sc

Page 469

Split Screens 512Selecting the Active ApplicationSelecting the Active ApplicationSelecting the Active ApplicationSelecting the Active ApplicationWith

Page 470

Split Screens 513Opening a Different ApplicationOpening a Different ApplicationOpening a Different ApplicationOpening a Different ApplicationIf you s

Page 471

Split Screens 514Using 2nd QUIT to Display the Home ScreenUsing 2nd QUIT to Display the Home ScreenUsing 2nd QUIT to Display the Home ScreenUsing 2nd

Page 472

Split Screens 515Note: Both Top-Bottom and Left-Right splits use the same methods to select an application.

Page 473

Data/Matrix Editor 516Data/Matrix EditorData/Matrix EditorData/Matrix EditorData/Matrix EditorOverview of List, Data, and Matrix VariablesOverview of

Page 474

Data/Matrix Editor 517On the Home screen (or anywhere else you can use a list), you can enter a list as a series of elements enclosed in braces { } a

Page 475

Data/Matrix Editor 518Note: For stat calculations, columns must have the same length.From the Home screen or a program, you can use the NewData comma

Page 476

Data/Matrix Editor 519Matrix VariableMatrix VariableMatrix VariableMatrix VariableA matrix is a rectangular array of elements. When you create a matr

Page 477

Getting Started 52Selecting submenu optionsSelecting submenu optionsSelecting submenu optionsSelecting submenu optionsA small arrow symbol (ú) to the

Page 478

Data/Matrix Editor 520Starting a Data/Matrix Editor SessionStarting a Data/Matrix Editor SessionStarting a Data/Matrix Editor SessionStarting a Data/

Page 479 - Graphing a Family of Curves

Data/Matrix Editor 521Note: If you do not type a variable name, your calculator displays the Home screen.4. Press ¸ (after typing in an input box suc

Page 480

Data/Matrix Editor 522Creating a New Variable from the Data/Matrix EditorCreating a New Variable from the Data/Matrix EditorCreating a New Variable f

Page 481 - • 6 sin(x), 3x+4

Data/Matrix Editor 523Deleting a VariableDeleting a VariableDeleting a VariableDeleting a VariableBecause all Data/Matrix Editor variables are saved

Page 482 - Using the Two-Graph Mode

Data/Matrix Editor 524When values are entered, the entry line shows the full value of the highlighted cell.Note: Use the title cell at the very top o

Page 483

Data/Matrix Editor 525Scrolling through the EditorScrolling through the EditorScrolling through the EditorScrolling through the EditorNote: To enter

Page 484 - Coordinates, Axes, etc

Data/Matrix Editor 526• In a list variable, a cell in the gap is undefined until you enter a value for the cell.Note: If you enter more than one colu

Page 485

Data/Matrix Editor 527Changing the Cell WidthChanging the Cell WidthChanging the Cell WidthChanging the Cell WidthThe cell width affects how many cha

Page 486

Data/Matrix Editor 528Clearing a Column or all ColumnsClearing a Column or all ColumnsClearing a Column or all ColumnsClearing a Column or all Column

Page 487

Data/Matrix Editor 5291. Move the cursor to any cell in the column and press †.– or –Move the cursor to the header cell (c1, c2, etc.) and press ¸.No

Page 488

Getting Started 53Using dialog boxesUsing dialog boxesUsing dialog boxesUsing dialog boxesAn ellipsis (…) at the end of a menu option indicates that

Page 489

Data/Matrix Editor 530• Press A or B to remove the highlighting. Then edit the old expression.Note: To cancel any changes, press N before pressing ¸.

Page 490 - 1:ClrDraw

Data/Matrix Editor 531Clearing a Header DefinitionClearing a Header DefinitionClearing a Header DefinitionClearing a Header Definition1. Move the cur

Page 491

Data/Matrix Editor 532Note: If you have a CBL 2™ or CBR™, use these techniques for your collected lists. Use 2° to see existing list variables.To Fi

Page 492

Data/Matrix Editor 533If Auto-calculate = OFF and you make changes as described above, the header definitions are not recalculated until you set Auto

Page 493 - 4:Circle

Data/Matrix Editor 534Note: To enter shift, type it from the keyboard or select it from the CATALOG.Using the CumSum FunctionUsing the CumSum Functio

Page 494 - A:Tangent

Data/Matrix Editor 535Sorting ColumnsSorting ColumnsSorting ColumnsSorting ColumnsAfter entering information in a data, list, or matrix variable, you

Page 495

Data/Matrix Editor 536Sorting All Columns Based on a “Key” ColumnSorting All Columns Based on a “Key” ColumnSorting All Columns Based on a “Key” Colu

Page 496

Data/Matrix Editor 537Saving a Copy of a List, Data, or Matrix VariableSaving a Copy of a List, Data, or Matrix VariableSaving a Copy of a List, Data

Page 497

Data/Matrix Editor 5382. Press ƒ and select 2:Save Copy As.4. Press ¸ (after typing in an input box such as Variable, you must press ¸ twice).To Copy

Page 498

Data/Matrix Editor 539

Page 499

Getting Started 54Example: Open the SAVE COPY AS dialog box from the Window Editor. Press ResultOUse the cursor keys to highlightand press ¸ƒ2– or –D

Page 500

Statistics and Data Plots 540Statistics and Data PlotsStatistics and Data PlotsStatistics and Data PlotsStatistics and Data PlotsOverview of Steps in

Page 501

Statistics and Data Plots 541Performing a Statistical CalculationPerforming a Statistical CalculationPerforming a Statistical CalculationPerforming a

Page 502

Statistics and Data Plots 542From the Data/Matrix Editor:1. Press ‡ to display the Calculate dialog box.This example shows all items as active. On yo

Page 503

Statistics and Data Plots 5432. Specify applicable settings for the active items.Item DescriptionCalculation TypeSelect the type of calculation. x Ty

Page 504

Statistics and Data Plots 544Note: To use an existing list variable for x, y, Freq, or Category, type the list name instead of a column number. An ex

Page 505

Statistics and Data Plots 545Previous results are cleared when you:• Edit the data points or change the Calculation Type.• Open another data variable

Page 506

Statistics and Data Plots 546Selecting the Calculation TypeSelecting the Calculation TypeSelecting the Calculation TypeSelecting the Calculation Type

Page 507

Statistics and Data Plots 547LinReg Linear regression — Fits the data to the model y=ax+b (where a is the slope, and b is the y-intercept) using a le

Page 508

Statistics and Data Plots 548Note: For TwoVar and all regression calculations, the columns that you specify for x and y (and optionally, Freq or Cate

Page 509

Statistics and Data Plots 549Management. All statistical variables are cleared when you edit the data or change the calculation type. Other condition

Page 510

Getting Started 55Note: Pressing the 8 S key shortcut also opens the SAVE COPY AS dialog box in most Apps.Canceling a menuCanceling a menuCanceling a

Page 511

Statistics and Data Plots 550†† corr is defined for a linear regression only; R2 is defined for all polynomial regressions.Note: • If regeq is 4x + 7

Page 512

Statistics and Data Plots 551• 1st quartile is the median of points between minX and medStat, and 3rd quartile is the median of points between medSta

Page 513

Statistics and Data Plots 5524. Specify applicable settings for the active items.Note: Item DescriptionPlot Type Select the type of plot. MarkSelect

Page 514

Statistics and Data Plots 553• Plots defined with column numbers always use the last data variable in the Data/Matrix Editor, even if that variable w

Page 515 - Split Screens 515

Statistics and Data Plots 554• Execute a Graph command.• Open a different variable in the Data/Matrix Editor.Copying a Plot DefinitionCopying a Plot

Page 516

Statistics and Data Plots 555ScatterScatterScatterScatterData points from x and y are plotted as coordinate pairs. Therefore, the columns or lists th

Page 517 - Name of list variable

Statistics and Data Plots 556Box PlotBox PlotBox PlotBox PlotThis plots one-variable data with respect to the minimum and maximum data points (minX a

Page 518

Statistics and Data Plots 557HistogramHistogramHistogramHistogramThis plots one-variable data as a histogram. The x axis is divided into equal widths

Page 519

Statistics and Data Plots 558Using the Y= Editor with Stat PlotsUsing the Y= Editor with Stat PlotsUsing the Y= Editor with Stat PlotsUsing the Y= Ed

Page 520

Statistics and Data Plots 559Showing the List of Stat PlotsShowing the List of Stat PlotsShowing the List of Stat PlotsShowing the List of Stat Plots

Page 521

Getting Started 56The custom menu replaces the standard toolbar menu on the calculator Home screen. (For details on creating a custom menu, see the e

Page 522 - Data/Matrix Editor 522

Statistics and Data Plots 560Note: Plots defined with column numbers always use the last data variable in the Data/Matrix Editor, even if that variab

Page 523

Statistics and Data Plots 561Defining the Viewing WindowDefining the Viewing WindowDefining the Viewing WindowDefining the Viewing WindowStat plots a

Page 524

Statistics and Data Plots 562Changing the Graph FormatChanging the Graph FormatChanging the Graph FormatChanging the Graph FormatTracing a Stat PlotT

Page 525

Statistics and Data Plots 563When you press C or D to move to another plot or y(x) function, tracing moves to the current or beginning point on that

Page 526 - Data/Matrix Editor 526

Statistics and Data Plots 564• In the Data/Matrix Editor, you can enter the test scores and frequency values in two columns.ÊFrequency of 2Ë Frequenc

Page 527

Statistics and Data Plots 565Note: You can also use frequency values from a list variable instead of a column.Example of a Category ColumnExample of

Page 528

Statistics and Data Plots 566In the Data/Matrix Editor, you can enter the scores and the category values in two columns. To use category values, spec

Page 529 - Data/Matrix Editor 529

Statistics and Data Plots 567Note: You can also use category values from a list variable instead of a column.Note: To analyze the whole class, leave

Page 530

Statistics and Data Plots 568If You Have a CBL 2™ or CBR™If You Have a CBL 2™ or CBR™If You Have a CBL 2™ or CBR™If You Have a CBL 2™ or CBR™The Calc

Page 531

Statistics and Data Plots 569Note: For specifics about using the CBL 2 and retrieving data to the TI-89 Titanium, refer to the guidebook that comes w

Page 532

Getting Started 57Note: Restoring the default custom menu erases the previous custom menu. If you created the previous custom menu with a program, yo

Page 533

Statistics and Data Plots 570• From the Home screen or a program, use the NewData command.For example:NewData temp1, time, tempcreates a data variabl

Page 534

Statistics and Data Plots 571CBR™CBR™CBR™CBR™You can also use the Calculator-Based Ranger™ (CBR) to explore the mathematical and scientific relations

Page 535 - Sorting Columns

Programming 572ProgrammingProgrammingProgrammingProgrammingRunning an Existing ProgramRunning an Existing ProgramRunning an Existing ProgramRunning a

Page 536 - 4:Sort Col, adjust all

Programming 573Note: Arguments specify initial values for a program. When you run a program, the TI-89 Titanium automatically checks for errors. For

Page 537

Programming 574Press ´ to stop program execution. A message is then displayed.Where Is the Output Displayed?Where Is the Output Displayed?Where Is th

Page 538

Programming 575Note: To clear any previous output, enter the Clr[O command in your program. You can also execute Clr[O from the Home screen.When a pr

Page 539 - Data/Matrix Editor 539

Programming 576Starting a Program Editor SessionStarting a Program Editor SessionStarting a Program Editor SessionStarting a Program Editor SessionEa

Page 540

Programming 5774. Press ¸ (after typing in an input box such as Variable, you must press ¸ twice) to display an empty “template.”You can now use the

Page 541

Programming 578Starting a New Program from the Program EditorStarting a New Program from the Program EditorStarting a New Program from the Program Ed

Page 542

Programming 579Copying a ProgramCopying a ProgramCopying a ProgramCopying a ProgramIn some cases, you may want to copy a program or function so that

Page 543

Getting Started 58Opening Apps with the Apps desktop turned offOpening Apps with the Apps desktop turned offOpening Apps with the Apps desktop turned

Page 544

Programming 580Entering and Editing Program LinesEntering and Editing Program LinesEntering and Editing Program LinesEntering and Editing Program Lin

Page 545 - Statistical Calculation Types

Programming 581Entering CommentsEntering CommentsEntering CommentsEntering CommentsA comment symbol (¦) lets you enter a remark in a program. When yo

Page 546

Programming 582• Control structures such as If...EndIf commands use a conditional test to decide which part of a program to execute.• Loops commands

Page 547

Programming 583Note: A list of output commands is available. Getting Values into a ProgramGetting Values into a ProgramGetting Values into a ProgramG

Page 548 - Statistical Variables

Programming 584Example of Passing Values to a ProgramExample of Passing Values to a ProgramExample of Passing Values to a ProgramExample of Passing V

Page 549

Programming 585• To run the program from the Home screen:Note: This example assumes that the user enters values that can be displayed by the viewing

Page 550

Programming 586• You can create functions that expand on the TI-89 Titanium’s built-in functions. You can then use the new functions the same as any

Page 551 - Defining a Statistical Plot

Programming 587• Can use all built-in TI-89 Titanium / Voyage™ 200 functions except:• Can refer to any variable; however, it can store a value to a l

Page 552 - 0), or Dot (¦)

Programming 588If the function requires input, one or more values must be passed to the function. (A user-defined function can store to local variabl

Page 553

Programming 589Note: This example calculates the cube if x|0; otherwise, it returns a 0.The argument x is automatically treated as a local variable.

Page 554 - Statistical Plot Types

Getting Started 59To access Apps not listed on the APPLICATIONS menu, select 1:FlashApps.Using split screensUsing split screensUsing split screensUsi

Page 555 - 3 or 2 ˆ 4

Programming 590Note: Because x and y in the function are local, they are not affected by any existing x or y variable.Calling One Program from Anothe

Page 556

Programming 591Calling a Separate ProgramCalling a Separate ProgramCalling a Separate ProgramCalling a Separate ProgramTo call a separate program, us

Page 557

Programming 592An internal subroutine is called and executed in the same way as a separate program.Ê Declares the subroutine as a local variable.Ë De

Page 558

Programming 593Lbl commands are local to the programs in which they are located. Therefore, a Goto command in the calling program cannot branch to a

Page 559

Programming 594Folder Variables Variables that are stored in a particular folder.• If you store to a variable name only, it is stored in the current

Page 560

Programming 595Note: If a program has local variables, a graphed function cannot access them. For example:may display an error or an unexpected resul

Page 561

Programming 596Variable-Related Commands and FunctionsVariable-Related Commands and FunctionsVariable-Related Commands and FunctionsVariable-Related

Page 562

Programming 597Note: The Define, DelVar, and Local commands are available from the Program Editor’s †Var toolbar menu.Using Local Variables in Functi

Page 563

Programming 598Example of a Local VariableExample of a Local VariableExample of a Local VariableExample of a Local VariableThe following program segm

Page 564

Programming 599For example:Ê Local variable m is not assigned an initial value.In the example above, the local variable m exists independently of any

Page 565

Getting Started 6• Select and edit categories of Apps.• View all of the Apps installed on your calculator.• View the full name of the highlighted App

Page 566

Getting Started 60Example: Set split-screen mode to TOP-BOTTOM.Press Result3„BD

Page 567

Programming 600To Perform Symbolic CalculationsTo Perform Symbolic CalculationsTo Perform Symbolic CalculationsTo Perform Symbolic CalculationsIf you

Page 568 - If You Have a CBL 2™ or CBR™

Programming 601How Strings Are UsedHow Strings Are UsedHow Strings Are UsedHow Strings Are UsedA string is a sequence of characters enclosed in "

Page 569

Programming 602String CommandsString CommandsString CommandsString CommandsNote: See the Technical Reference module for syntax for all commands and f

Page 570

Programming 603Conditional TestsConditional TestsConditional TestsConditional TestsConditional tests let programs make decisions. For example, depend

Page 571

Programming 604Entering a Test OperatorEntering a Test OperatorEntering a Test OperatorEntering a Test Operator• Type the operator directly from the

Page 572 - ProgrammingProgramming

Programming 605Note: From the keyboard, you can type:>= for |<= for {/= for ƒ(To get the / character, press e.)Boolean TestsBoolean TestsBool

Page 573 - Programming 573

Programming 606Using If, Lbl, and Goto to Control Program FlowUsing If, Lbl, and Goto to Control Program FlowUsing If, Lbl, and Goto to Control Progr

Page 574 - Programming 574

Programming 607If CommandIf CommandIf CommandIf CommandTo execute only one command if a conditional test is true, use the general form:Ê Executed onl

Page 575

Programming 608Note: EndIf marks the end of the Then block that is executed if the condition is true.If...Then...Else... EndIf StructuresIf...Then...

Page 576

Programming 609Refer to the Technical Reference module for more information and an example.Lbl and Goto CommandsLbl and Goto CommandsLbl and Goto Com

Page 577

Getting Started 61Setting the initial Apps for split screenSetting the initial Apps for split screenSetting the initial Apps for split screenSetting

Page 578 - Programming 578

Programming 610Because a Goto command is unconditional (it always branches to the specified label), it is often used with an If command so that you c

Page 579 - Stop command

Programming 611You can then begin entering the commands that will be executed in the loop.Note: A loop command marks the start of the loop. The corre

Page 580

Programming 612When For is executed, the variable value is compared to the end value. If variable does not exceed end, the loop is executed; otherwis

Page 581 - Description of expr

Programming 613While...EndWhile LoopsWhile...EndWhile LoopsWhile...EndWhile LoopsWhile...EndWhile LoopsA While...EndWhile loop repeats a block of com

Page 582

Programming 614For example:Ê Initially sets x.Ë Displays 0, 1, 2, 3, and 4.Ì Increments x.Í Displays 5. When x increments to 5, the loop is not execu

Page 583 - Programming 583

Programming 615Typically, the loop contains commands that let the program exit from the loop. Commonly used commands are: If, Exit, Goto, and Lbl (la

Page 584

Programming 616Repeating a Loop ImmediatelyRepeating a Loop ImmediatelyRepeating a Loop ImmediatelyRepeating a Loop ImmediatelyThe Cycle command imme

Page 585

Programming 617Configuration CommandsConfiguration CommandsConfiguration CommandsConfiguration CommandsNote: The parameter/mode strings used in the s

Page 586

Programming 6181. Position the cursor where you want to insert the setMode command.3. Select a mode to display a menu of its valid settings.4. Select

Page 587

Programming 619Input CommandsInput CommandsInput CommandsInput CommandsTo see a submenu that lists additional commands, select 1:Dialog.Command Descr

Page 588

Getting Started 62To set the initial App for each split-screen portion:1. Select the Split 1 App mode setting and press B to display a menu of availa

Page 589 - Return. This is useful for

Programming 620Note: String input cannot be used in a calculation. To convert a string to a numeric expression, use the expr command.Output CommandsO

Page 590

Programming 621Notes: • In a program, simply performing a calculation does not display the result. You must use an output command.•After Disp and Out

Page 591 - Programming 591

Programming 622Notes: • When you run a program that sets up a custom toolbar, that toolbar is still available even after the program has stopped.•Req

Page 592

Programming 623Turning the Custom Menu On and OffTurning the Custom Menu On and OffTurning the Custom Menu On and OffTurning the Custom Menu On and O

Page 593 - Using Variables in a Program

Programming 624Defining a Custom MenuDefining a Custom MenuDefining a Custom MenuDefining a Custom MenuTo create a custom menu, use the following gen

Page 594 - !class\start

Programming 625Ë :Title "Units"Ë :Item "_m/_s^2":Item "_ft/_s^2":Item "_m":Item "_ft":Item "_l

Page 595

Programming 626Editor to create a new program, and paste them into the blank program. Then modify the commands as necessary.Note: This inserts all th

Page 596 - § enters a ! symbol

Programming 627Creating a Table or GraphCreating a Table or GraphCreating a Table or GraphCreating a Table or GraphTo create a table or a graph based

Page 597 - toolbar menu

Programming 628Note: More information is available about using setMode. Graph Picture and Database CommandsGraph Picture and Database CommandsGraph P

Page 598

Programming 629Note: For information about graph pictures and databases, also refer to Additional Graphing Topics.Drawing on the Graph ScreenDrawing

Page 599 - Programming 599

Getting Started 632DB4¸Press Result

Page 600 - String Operations

Programming 630• Pixel coordinates — Refer to the pixels that physically make up the screen. These are independent of the viewing window because the

Page 601

Programming 631Drawing a Point or PixelDrawing a Point or PixelDrawing a Point or PixelDrawing a Point or PixelDrawing Lines and CirclesDrawing Lines

Page 602 - String Commands

Programming 632Drawing ExpressionsDrawing ExpressionsDrawing ExpressionsDrawing ExpressionsLineHorz orPxlHorzDraws, erases, or inverts a horizontal l

Page 603 - Conditional Tests

Programming 633Accessing Another Accessing Another Accessing Another Accessing Another TI-89 TitaniumTI-89 TitaniumTI-89 TitaniumTI-89 Titanium, a CB

Page 604

Programming 634Accessing Another Accessing Another Accessing Another Accessing Another TI-89 TitaniumTI-89 TitaniumTI-89 TitaniumTI-89 TitaniumWhen t

Page 605

Programming 635Debugging Programs and Handling ErrorsDebugging Programs and Handling ErrorsDebugging Programs and Handling ErrorsDebugging Programs a

Page 606

Programming 636Debugging TechniquesDebugging TechniquesDebugging TechniquesDebugging TechniquesRun-time error messages can locate syntax errors but n

Page 607

Programming 637Example: Using Alternative ApproachesExample: Using Alternative ApproachesExample: Using Alternative ApproachesExample: Using Alternat

Page 608

Programming 638Note: For {, type 8µ (zero). For &, press:8 p (times)Example 2Example 2Example 2Example 2This example uses Prompt for input, Lbl,

Page 609

Programming 639Example 3Example 3Example 3Example 3This example uses Dialog...EndDlog to create dialog boxes for input and output. It uses Loop...End

Page 610

Getting Started 64If you set Split 1 App and Split 2 App to the same nongraphing App or to the same graphing App with Number of Graphs set to 1, the

Page 611

Programming 640Example 4Example 4Example 4Example 4This example uses built-in functions to calculate the result without using a loop.Ê Prompts for in

Page 612

Programming 641Assembly-Language ProgramsAssembly-Language ProgramsAssembly-Language ProgramsAssembly-Language ProgramsYou can run programs written f

Page 613

Programming 642You can purchase computer-to-calculator and unit-to-unit cables from the TI Online Store at education.ti.com/buy.Running an Assembly-L

Page 614

Programming 643The programs must be stored in the MAIN folder. Also, you cannot use a shortcut to run a program that requires an argument.If you have

Page 615

Programming 644For Information about Writing an Assembly-Language ProgramFor Information about Writing an Assembly-Language ProgramFor Information ab

Page 616 - TI-89 TitaniumTI-89 Titanium

Text Editor 645Text EditorText EditorText EditorText EditorStarting a Text Editor SessionStarting a Text Editor SessionStarting a Text Editor Session

Page 617

Text Editor 6464. Press ¸ (after typing in an input box such as Variable, you must press ¸ twice) to display an empty Text Editor screen.You can now

Page 618

Text Editor 647Starting a New Session from the Text EditorStarting a New Session from the Text EditorStarting a New Session from the Text EditorStart

Page 619

Text Editor 648Copying a SessionCopying a SessionCopying a SessionCopying a SessionIn some cases, you may want to copy a session so that you can edit

Page 620

Text Editor 649Typing TextTyping TextTyping TextTyping TextWhen you create a new Text Editor session, you see an empty screen. When you open a previo

Page 621

Getting Started 65Managing Apps and operating system (OS) versionsManaging Apps and operating system (OS) versionsManaging Apps and operating system

Page 622 - Creating a Custom Menu

Text Editor 650• Press 2C or 2D to scroll up or down one screen at a time, and ¹C or ¹D to go to the top or bottom of the text session. Typing Alphab

Page 623 - • Press 2 ½ again

Text Editor 651On the TI-89 Titanium, while either type of alpha-lock is on:• To type a period, comma, or other character that is the primary functio

Page 624

Text Editor 652Highlighting TextHighlighting TextHighlighting TextHighlighting TextNote: To remove highlighting without replacing or deleting, move t

Page 625

Text Editor 653Cutting, Copying, and Pasting TextCutting, Copying, and Pasting TextCutting, Copying, and Pasting TextCutting, Copying, and Pasting Te

Page 626 - 3:Restore custom default

Text Editor 654Finding TextFinding TextFinding TextFinding TextFrom the Text Editor:1. Place the text cursor at any location preceding the text you w

Page 627 - Creating a Table or Graph

Text Editor 655Inserting or Overtyping a CharacterInserting or Overtyping a CharacterInserting or Overtyping a CharacterInserting or Overtyping a Cha

Page 628

Text Editor 656Selecting Characters from the CHAR MenuSelecting Characters from the CHAR MenuSelecting Characters from the CHAR MenuSelecting Charact

Page 629 - Drawing on the Graph Screen

Text Editor 657• Press N to exit the map.TI-89 Titanium Keyboard mapTo access the TI-89 Titanium shortcuts, first press the ¹ key.TI-89 Titanium keyb

Page 630

Text Editor 658•HOMEDATA (¹?) — Copies the current graph coordinates to the Home screen’s history area.Typing Special Symbols from the KeyboardTyping

Page 631

Text Editor 659On the TI-89 Titanium:f Press ¹c to access the Greek character set. Note: If you press a key combination that does not access a Greek

Page 632 - Drawing Expressions

Getting Started 66To display the ABOUT screen, press ƒ 3:About from the Apps desktop. The ABOUT screen displays the following information about your

Page 633 - I/O toolbar menu

Text Editor 660• Press ¹c7+ letter to access uppercase Greek letters. Example:¹c7[W] displays ΩThe exact keys that you press on the TI-89 Titanium de

Page 634

Text Editor 661Entering and Executing a Command ScriptEntering and Executing a Command ScriptEntering and Executing a Command ScriptEntering and Exec

Page 635 - Command Description

Text Editor 662You can type multiple commands on the same line if you type a colon to separate the commands.Deleting a Command MarkDeleting a Command

Page 636

Text Editor 663The command is copied to the entry line on the Home screen and executed. The Home screen is displayed temporarily during execution, an

Page 637

Text Editor 664Creating a Script from Your Home Screen EntriesCreating a Script from Your Home Screen EntriesCreating a Script from Your Home Screen

Page 638

Text Editor 665ExampleExampleExampleExample1. Type your script. Press „ and select 1:Command to mark the command lines.2. Press … and select 1:Script

Page 639

Numeric Solver 666Numeric SolverNumeric SolverNumeric SolverNumeric SolverDisplaying the Solver and Entering an EquationDisplaying the Solver and Ent

Page 640

Numeric Solver 667Refer to a function or equation defined elsewhere.Notes: • Do not use system function names (such as y1(x) or r1(q)) as simple vari

Page 641 - Assembly-Language Programs

Numeric Solver 668Recalling Previously Entered EquationsRecalling Previously Entered EquationsRecalling Previously Entered EquationsRecalling Previou

Page 642

Numeric Solver 669Saving Equations for Future UseSaving Equations for Future UseSaving Equations for Future UseSaving Equations for Future UseBecause

Page 643

Getting Started 67Deleting an ApplicationDeleting an ApplicationDeleting an ApplicationDeleting an ApplicationDeleting an application removes it from

Page 644 - Exec command

Numeric Solver 670Defining the Known VariablesDefining the Known VariablesDefining the Known VariablesDefining the Known VariablesAfter you type an e

Page 645 - Text EditorText Editor

Numeric Solver 671Enter a number or expression for all variables except the one you want to solve for.Notes and Common ErrorsNotes and Common ErrorsN

Page 646

Numeric Solver 672• If you refer to a previously defined function, any variables used as arguments in the function call are listed, not the variables

Page 647 - Text Editor 647

Numeric Solver 673Editing the EquationEditing the EquationEditing the EquationEditing the EquationIn the Numeric Solver, press C until the cursor is

Page 648 - Entering and Editing Text

Numeric Solver 674For the bounds, you can also enter variables or expressions that evaluate to appropriate values (bound={lower,upper}) or a valid li

Page 649

Numeric Solver 675Note: To stop (break) a calculation, press ´. The unknown variable shows the value being tested when the break occurred.Using the s

Page 650

Numeric Solver 676see how many solutions exist and use the cursor to select an accurate initial guess and bounds.Displaying the GraphDisplaying the G

Page 651

Numeric Solver 677You can explore the graph by using the free-moving cursor, tracing, zooming, etc., as described in Basic Function Graphing.How the

Page 652

Numeric Solver 678Selecting a New Initial Guess from the GraphSelecting a New Initial Guess from the GraphSelecting a New Initial Guess from the Grap

Page 653 - Note: You can press:

Numeric Solver 679Clearing Variables Before Leaving the Numeric SolverClearing Variables Before Leaving the Numeric SolverClearing Variables Before L

Page 654 - Not found Does not move

Getting Started 68To connect your calculator to another calculator – Use the USB unit-to-unit cable or an I/O unit-to-unit cable to connect the TI-89

Page 655 - Entering Special Characters

Number Bases 680Number BasesNumber BasesNumber BasesNumber BasesEntering and Converting Number BasesEntering and Converting Number BasesEntering and

Page 656 - On the TI-89 Titanium:

Number Bases 681Converting between Number BasesConverting between Number BasesConverting between Number BasesConverting between Number BasesUse the 4

Page 657 - Text Editor 657

Number Bases 682Performing Math Operations with Hex or Bin Performing Math Operations with Hex or Bin Performing Math Operations with Hex or Bin Perf

Page 658 - Text Editor 658

Number Bases 683Dividing When Base = HEX or BINDividing When Base = HEX or BINDividing When Base = HEX or BINDividing When Base = HEX or BINThe Base

Page 659

Number Bases 684Size Limitations When Base = HEX or BINSize Limitations When Base = HEX or BINSize Limitations When Base = HEX or BINSize Limitations

Page 660

Number Bases 685Note: You can select these operators from the MATH/Base menu. For an example using each operator, refer to the Technical Reference mo

Page 661 - 1:Command

Number Bases 686Note: If you enter an integer that is too large to be stored in a signed, 32-bit binary form, a symmetric modulo operation brings the

Page 662

Number Bases 687shift(integer)– or –shift(integer,#ofShifts)If #ofShifts is:• omitted — bits shift once to the right (default is L1).• negative — bit

Page 663

Number Bases 688The result is displayed according to the Base mode.Note: If you enter an integer that is too large to be stored in a signed, 32-bit b

Page 664 - Text Editor 664

Memory and Variable Management 689Memory and Variable ManagementMemory and Variable ManagementMemory and Variable ManagementMemory and Variable Manag

Page 665

Getting Started 69BatteriesBatteriesBatteriesBatteriesThe TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW o

Page 666 - Numeric SolverNumeric Solver

Memory and Variable Management 690Resetting the MemoryResetting the MemoryResetting the MemoryResetting the MemoryFrom the MEMORY screen:Important: T

Page 667

Memory and Variable Management 691Displaying the VAR-LINK ScreenDisplaying the VAR-LINK ScreenDisplaying the VAR-LINK ScreenDisplaying the VAR-LINK S

Page 668

Memory and Variable Management 692To scroll through the list:• Press D or C. (Use 2 D or 2 C to scroll one page at a time.)– or –• Type a letter. If

Page 669 - Numeric Solver 669

Memory and Variable Management 693Variable Types as Listed on VAR-LINKVariable Types as Listed on VAR-LINKVariable Types as Listed on VAR-LINKVariabl

Page 670 - Defining the Known Variables

Memory and Variable Management 694Displaying Information about Variables on the Displaying Information about Variables on the Displaying Information

Page 671

Memory and Variable Management 695Showing the Contents of a VariableShowing the Contents of a VariableShowing the Contents of a VariableShowing the C

Page 672

Memory and Variable Management 696Note: Press either A or B to toggle between expanded or collapsed view when you have a folder highlighted.Folders a

Page 673

Memory and Variable Management 697By creating additional folders, you can store independent sets of user-defined variables (including user-defined fu

Page 674

Memory and Variable Management 698The system variables in the MAIN folder are always directly accessible, regardless of the current folder.Note: User

Page 675 - Graphing the Solution

Memory and Variable Management 699Setting the Current Folder from the Home ScreenSetting the Current Folder from the Home ScreenSetting the Current F

Page 676

Getting Started 7Ï Edit categories.To return to the Apps desktop at any time, press O. The last category selected appears with the last open App high

Page 677

Getting Started 70You can also transfer the OS to another TI-89 Titanium using a USB unit-to-unit cable . If you accidentally interrupt the transfer

Page 678

Memory and Variable Management 700Renaming Variables or FoldersRenaming Variables or FoldersRenaming Variables or FoldersRenaming Variables or Folder

Page 679 - Numeric Solver 679

Memory and Variable Management 701For example:To see a list of existing folders and variables, press 2°. On the VAR-LINK screen, you can highlight a

Page 680

Memory and Variable Management 702From the VAR-LINK screen:3. Select the new setting.4. When you are back on the VAR-LINK VIEW screen, press ¸.The VA

Page 681

Memory and Variable Management 703Copying or Moving Variables from One Folder to AnotherCopying or Moving Variables from One Folder to AnotherCopying

Page 682

Memory and Variable Management 7042. Press ƒ Manage and select 6:Lock or 7:UnLock.Deleting a Folder from the VAR-LINK ScreenDeleting a Folder from th

Page 683

Memory and Variable Management 705Deleting a Variable or a Folder from the Home ScreenDeleting a Variable or a Folder from the Home ScreenDeleting a

Page 684

Memory and Variable Management 706• Home screen, Y= Editor, Table Editor, or Data/Matrix Editor — The cursor must be on the entry line.• Text Editor,

Page 685

Memory and Variable Management 707If you paste a variable name that is not in the current folder, the variable’s pathname is pasted.Archiving and Una

Page 686

Memory and Variable Management 708Additional free RAM can improve performance times for certain types of calculations.From the VAR-LINK ScreenFrom th

Page 687

Memory and Variable Management 709From the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Screen or a ProgramFrom the Home Sc

Page 688

Getting Started 713. Replace the battery cover on the calculator. The cover should snap into place.Replacing the AAA (alkaline) batteriesReplacing th

Page 689 - Checking and Resetting Memory

Memory and Variable Management 710Why not Perform Garbage Collection Automatically, without a Why not Perform Garbage Collection Automatically, witho

Page 690

Memory and Variable Management 711This process continues to the end of the last sector. Depending on the size of individual variables, the empty bloc

Page 691

Memory and Variable Management 712Unarchived variables are “marked for deletion,” meaning they will be deleted during the next garbage collection.If

Page 692

Memory and Variable Management 713The Garbage Collection ProcessThe Garbage Collection ProcessThe Garbage Collection ProcessThe Garbage Collection Pr

Page 693

Memory and Variable Management 714• Opening a text variable in the Text Editor.• Opening a data variable, list, or matrix in the Data/Matrix Editor.•

Page 694

Memory and Variable Management 7153. Free up the needed amount of memory by:• Deleting unnecessary variables from RAM.• Archiving large variables or

Page 695

Connectivity 716ConnectivityConnectivityConnectivityConnectivityConnecting Two UnitsConnecting Two UnitsConnecting Two UnitsConnecting Two UnitsThe T

Page 696

Connectivity 717Two TI-89 Titanium calculators linked togetherPosition so that the USB symbols face each other; then insert the connector.USB PortUSB

Page 697

Connectivity 718A TI-89 Titanium and a Voyage™ 200 linked togetherI/O PortI/O PortI/O unit-to-unit cable

Page 698

Connectivity 719A TI-89 Titanium and a TI-89 linked togetherTransmitting Variables, Flash Applications, and Transmitting Variables, Flash Application

Page 699

Getting Started 72Replacing the backup (silver oxide) batteryReplacing the backup (silver oxide) batteryReplacing the backup (silver oxide) batteryRe

Page 700 - Manage and select 3:Rename

Connectivity 720Setting Up the UnitsSetting Up the UnitsSetting Up the UnitsSetting Up the UnitsFlash applications will transfer only between certain

Page 701

Connectivity 721- If selecting a Flash App (from the F7 tab), this selects the App folder and its contents. A checkmark appears beside the folder, bu

Page 702

Connectivity 722During transmission, a progress bar is displayed in the status line of the receiving unit. When transmission is complete, the VAR-LIN

Page 703

Connectivity 723Locked variables that have the same name on both the sending and receiving units must be unlocked on the receiving unit before they c

Page 704

Connectivity 724Canceling a TransmissionCanceling a TransmissionCanceling a TransmissionCanceling a TransmissionFrom either the sending or receiving

Page 705

Connectivity 725Sending unitThe receiving unit does not have the correct certification for the operating system (OS) or Flash application being sent.

Page 706

Connectivity 726Deleting Variables, Flash Applications, or FoldersDeleting Variables, Flash Applications, or FoldersDeleting Variables, Flash Applica

Page 707

Connectivity 7273. Press ƒ and choose 1:Delete.– or –Press 0. A confirmation message appears.4. Press ¸ to confirm the deletion. Where to Get Flash A

Page 708

Connectivity 728You can use optional parameters with the SendCalc or GetCalc command to specify either the USB port or I/O port. (See Appendix A for

Page 709

Connectivity 729Notes:Ê Sets up this unit to receive and display the variable msg.Ë Then lets this user enter a message in msg and send it.Ì Loop exe

Page 710

Previews 73PreviewsPreviewsPreviewsPreviewsPerforming ComputationsPerforming ComputationsPerforming ComputationsPerforming ComputationsThis section p

Page 711

Connectivity 730To synchronize GetCalc and SendCalc, the loops are arranged so that the receiving unit executes GetCalc while the sending unit is wai

Page 712

Connectivity 731Stopping the ProgramStopping the ProgramStopping the ProgramStopping the ProgramBecause the Chat program sets up an infinite loop on

Page 713

Connectivity 732messages and status information related to new functionality in the OS may not display correctly.When in OS download mode, the Automa

Page 714

Connectivity 733• Use a USB cable or TI Connectivity Cable USB and TI Connect™ software (education.ti.com/downloadticonnect) to send the variables an

Page 715

Connectivity 7344. On the receiving unit, select 5:Receive OS.A warning message displays. Press N to halt the process, or press ¸ to proceed. Pressin

Page 716 - ConnectivityConnectivity

Connectivity 735If You are Upgrading the Operating System on Multiple UnitsIf You are Upgrading the Operating System on Multiple UnitsIf You are Upgr

Page 717

Connectivity 736Collecting and Transmitting ID ListsCollecting and Transmitting ID ListsCollecting and Transmitting ID ListsCollecting and Transmitti

Page 718 - I/O unit-to-unit

Connectivity 737To send an ID number from one device to another, first connect two units by using a USB unit-to-unit cable or I/O unit-to-unit cable.

Page 719

Connectivity 738• Each time an ID list is successfully sent from one device to another, the ID list is automatically deleted from the sending unit.•

Page 720 - Connectivity 720

Connectivity 739Most functions of the TI-89 Titanium are compatible with the TI-89, Voyage™ 200, and TI-92 Plus. The TI-89 Titanium and the TI-89 are

Page 721 - VAR-LINK

Previews 74Finding the Factorial of NumbersFinding the Factorial of NumbersFinding the Factorial of NumbersFinding the Factorial of NumbersExpanding

Page 722

Connectivity 740Link Transmission TableLink Transmission TableLink Transmission TableLink Transmission TableTo &From (TI-89 Titanium TI-89Voyage™

Page 723

Activities 741ActivitiesActivitiesActivitiesActivitiesAnalyzing the Pole-Corner ProblemAnalyzing the Pole-Corner ProblemAnalyzing the Pole-Corner Pro

Page 724

Activities 7421. Define the expression for side a in terms of w and store it in a(w).Note: When you want to define a function, use multiple character

Page 725 - ¸ twice

Activities 743Deriving the Quadratic FormulaDeriving the Quadratic FormulaDeriving the Quadratic FormulaDeriving the Quadratic FormulaThis activity s

Page 726

Activities 744Detailed information about using the functions in this example can be found in Symbolic Manipulation.Performing Computations to Derive

Page 727

Activities 7454. Divide both sides of the equation by the leading coefficient a. Note: Continue to use the last answer (2 ±) as in step 3 in steps 4

Page 728 - Connectivity 728

Activities 746Exploring a MatrixExploring a MatrixExploring a MatrixExploring a MatrixThis activity shows you how to perform several matrix operation

Page 729

Activities 747Exploring a 3x3 MatrixExploring a 3x3 MatrixExploring a 3x3 MatrixExploring a 3x3 MatrixPerform these steps to generate a random matrix

Page 730

Activities 748Exploring cos(x) = sin(x)Exploring cos(x) = sin(x)Exploring cos(x) = sin(x)Exploring cos(x) = sin(x)This activity uses two methods to f

Page 731 - Connectivity 731

Activities 749Method 2: Symbolic ManipulationMethod 2: Symbolic ManipulationMethod 2: Symbolic ManipulationMethod 2: Symbolic ManipulationPerform the

Page 732 - Connectivity 732

Previews 75Finding Prime FactorsFinding Prime FactorsFinding Prime FactorsFinding Prime FactorsFinding RootsFinding RootsFinding RootsFinding RootsSt

Page 733 - Connectivity 733

Activities 750Finding Minimum Surface Area of a ParallelepipedFinding Minimum Surface Area of a ParallelepipedFinding Minimum Surface Area of a Paral

Page 734

Activities 751Finding the Minimum Surface Area AnalyticallyFinding the Minimum Surface Area AnalyticallyFinding the Minimum Surface Area Analytically

Page 735

Activities 752Running a Tutorial Script Using the Text EditorRunning a Tutorial Script Using the Text EditorRunning a Tutorial Script Using the Text

Page 736 - Error Message Description

Activities 7532. Type the following lines into the Text Editor.CCCCCC: Compute the maximum value of f on the closed interval [a,b]: assume that f is

Page 737

Activities 754Decomposing a Rational FunctionDecomposing a Rational FunctionDecomposing a Rational FunctionDecomposing a Rational FunctionThis activi

Page 738 - A:Clear ID List

Activities 755Decomposing a Rational FunctionDecomposing a Rational FunctionDecomposing a Rational FunctionDecomposing a Rational FunctionTo examine

Page 739 - Connectivity 739

Activities 7565. In the Y= Editor, select the thick graphing style for y2(x).6. Add the original function f(x) to y3(x) and select the square graphin

Page 740 - Link Transmission Table

Activities 757Observe that the global behavior of the f(x) function is basically represented by the quadratic quotient y2(x). The rational expression

Page 741 - ActivitiesActivities

Activities 758Filtering Data by Categories Filtering Data by Categories Filtering Data by Categories Filtering Data by Categories Each student is pla

Page 742

Activities 759Perform the following steps to compare the weight of high school students to their year in school.1. Start the Data/Matrix Editor, and

Page 743

Previews 76Expanding ExpressionsExpanding ExpressionsExpanding ExpressionsExpanding ExpressionsReducing ExpressionsReducing ExpressionsReducing Expre

Page 744

Activities 7605. Copy Plot 1 to Plot 2.6. Repeat step 5 and copy Plot 1 to Plot 3, Plot 4, and Plot 5.7. Press ƒ, and modify the Include Categories i

Page 745

Activities 761CBL 2™ Program for the CBL 2™ Program for the CBL 2™ Program for the CBL 2™ Program for the TI-89 TitaniumTI-89 TitaniumTI-89 TitaniumT

Page 746 - Exploring a Matrix

Activities 762:setMode("Graph","FUNCTION") Set up the TI-89 Titanium for function graphing.:PlotsOff Turn off any previous plots.

Page 747

Activities 763You can also use the Calculator-Based Ranger™ system (CBR™) to explore the mathematical and scientific relationships between distance,

Page 748 - Exploring cos(x) = sin(x)

Activities 764Setting Up a Parametric Graph and Table Setting Up a Parametric Graph and Table Setting Up a Parametric Graph and Table Setting Up a Pa

Page 749

Activities 7655. Set the Window variables to:t values= [0,4,.1]x values= [0,300,50]y values= [0,100,10]6. Switch to the right side and display the gr

Page 750

Activities 766Optional ExerciseOptional ExerciseOptional ExerciseOptional ExerciseAssuming the same initial velocity of 95 feet per second, find the

Page 751

Activities 7673. Use the abs( ) function to find the absolute value of f(x+yi). (This calculation may take about 2 minutes.)Note: The absolute value

Page 752

Activities 7686. In the Y=Editor, press: 8 Í and set the Graph Format variables to:Axes= ONLabels= ONStyle= HIDDEN SURFACENote: Calculating and drawi

Page 753

Activities 769SummarySummarySummarySummaryNote that zc is zero for each of the function values in steps 7–9. Thus, the complex zeros 1,Li, i of the p

Page 754 - Text Editor screen

Previews 77Factoring PolynomialsFactoring PolynomialsFactoring PolynomialsFactoring PolynomialsSolving EquationsSolving EquationsSolving EquationsSol

Page 755

Activities 770Finding the Interest Rate of an AnnuityFinding the Interest Rate of an AnnuityFinding the Interest Rate of an AnnuityFinding the Intere

Page 756

Activities 771Finding the Future Value of an AnnuityFinding the Future Value of an AnnuityFinding the Future Value of an AnnuityFinding the Future Va

Page 757 - Activities 757

Activities 772period (1 = beginning of month, 0 = end of month).Note: You can use your computer keyboard to type lengthy text and then use TI Connect

Page 758

Activities 773Finding the Monthly PaymentFinding the Monthly PaymentFinding the Monthly PaymentFinding the Monthly PaymentFind the monthly payment on

Page 759

Activities 774Finding FactorsFinding FactorsFinding FactorsFinding FactorsEnter the expressions shown below on the Home screen.1.factor(x^3N5x) ¸ dis

Page 760

Activities 775Simulation of Sampling without ReplacementSimulation of Sampling without ReplacementSimulation of Sampling without ReplacementSimulatio

Page 761 - CBL 2™ Program for the

Activities 776Sampling without ReplacementSampling without ReplacementSampling without ReplacementSampling without ReplacementSuppose an urn contains

Page 762

Activities 7771. Set the modes for Page 1 as shown in this screen. (Show angles in degrees and display all digits with a floating decimal point.)Pres

Page 763

Activities 7783. Enter vectors describing the initial path of the boat, water current, and resultant path of the boat.Store these vectors as i, c, an

Page 764

Activities 779When converted to rectangular form, the sum of vectors i and c equals the resultant vector r.5. Using function p2r, convert vectors i,

Page 765

Previews 78Solving Equations with a Domain ConstraintSolving Equations with a Domain ConstraintSolving Equations with a Domain ConstraintSolving Equa

Page 766

Activities 7807. Solve eq2 for b to calculate the actual speed of the boat.solve(eq2,b)8. Substitute the known value of b into eq1, and solve eq1 for

Page 767

Appendix A: Functions and Instructions 781 Name of the function or instruction.Key or menu for entering the name. You can also type the name. Syntax

Page 768

782 Appendix A: Functions and Instructions | ("with") 912 cFactor() 791 comDenom() 794 cSolve() 799 cZeros 803 expand() 817 facto

Page 769

Appendix A: Functions and Instructions 783 + (add) 900 ì (subtract) 901 ù (multiply) 902 àààà (divide) 902 ë (negate) 904 % (percent) 904

Page 770

784 Appendix A: Functions and Instructions = 905 ≠≠≠≠ 905 < 905 ≤≤≤≤ 906 > 906 ≥≥≥≥ 906 # (indirection) 908 ! (store) 912 ¦ (c

Page 771

Appendix A: Functions and Instructions 785 ! (factorial) 906 BldData 790 CubicReg 801 cumSum() 802 ExpReg 819 LinReg 836 LnReg 838 Logistic

Page 772 - Activities 772

786 Appendix A: Functions and Instructions abs() MATH/Number menu abs(expression1) ⇒⇒⇒⇒ expression abs(list1) ⇒⇒⇒⇒ list abs(matrix1) ⇒⇒⇒⇒ ma

Page 773 - Activities 773

Appendix A: Functions and Instructions 787 AndPic CATALOG AndPic picVar[, row, column] Displays the Graph screen and logically “ANDS” the picture s

Page 774 - Activities 774

788 Appendix A: Functions and Instructions ans() 2 ± key ans() ⇒⇒⇒⇒ value ans(integer) ⇒⇒⇒⇒ value Returns a previous answer from the Home screen

Page 775

Appendix A: Functions and Instructions 789 augment() MATH/Matrix menu augment(list1, list2) ⇒⇒⇒⇒ list Returns a new list that is list2 appended to t

Page 776 - RandSeed

Previews 79Finding the Derivative of FunctionsFinding the Derivative of FunctionsFinding the Derivative of FunctionsFinding the Derivative of Functio

Page 777

790 Appendix A: Functions and Instructions ceiling() MATH/Number menu ceiling(expression1) ⇒⇒⇒⇒ integer Returns the nearest integer that is ‚ the

Page 778

Appendix A: Functions and Instructions 791 cFactor() MATH/Algebra/Complex menu cFactor(expression1[, var]) ⇒⇒⇒⇒ expression cFactor(list1[,var]) ⇒⇒

Page 779

792 Appendix A: Functions and Instructions Circle CATALOG Circle x, y, r [, drawMode] Draws a circle with its center at window coordinates (x, y) a

Page 780

Appendix A: Functions and Instructions 793 ClrGraph CATALOG ClrGraph Clears any functions or expressions that were graphed with the Graph command or

Page 781 - Functions and Instructions

794 Appendix A: Functions and Instructions comDenom(expression1,var) returns a reduced ratio of numerator and denominator expanded with respect to v

Page 782 - Graphics

Appendix A: Functions and Instructions 795 cos() 2X key cos(expression1) ⇒⇒⇒⇒ expression cos(list1) ⇒⇒⇒⇒ list cos(expression1) returns the cosin

Page 783 - Matrices

796 Appendix A: Functions and Instructions cosê () ¥Rkey cosê (expression1) ⇒⇒⇒⇒ expression cosê (list1) ⇒⇒⇒⇒ list cosê (expression1) returns th

Page 784

Appendix A: Functions and Instructions 797 cot() MATH/Trig menu cot(expression1) ⇒⇒⇒⇒ expression cot(list1) ⇒⇒⇒⇒ list Returns the cotangent of expre

Page 785 - Strings

798 Appendix A: Functions and Instructions csc() MATH/Trig menu csc(expression1) ⇒⇒⇒⇒ expression csc(list1) ⇒⇒⇒⇒ list Returns the cosecant of expre

Page 786

Appendix A: Functions and Instructions 799 cSolve() temporarily sets the domain to complex during the solution even if the current domain is real. In

Page 787 - AndPic CATALOG

Getting Started 8Note: ® is the second function of the ´ key.The calculator’s Automatic Power Down™ (APD™) feature prolongs battery life by turning t

Page 788 - Archive CATALOG

Previews 80Finding the Integral of FunctionsFinding the Integral of FunctionsFinding the Integral of FunctionsFinding the Integral of FunctionsSolvin

Page 789 - 4Bin MATH/Base menu

800 Appendix A: Functions and Instructions Simultaneous polynomial equations can have extra variables that have no values, but represent given numer

Page 790 - BldData CATALOG

Appendix A: Functions and Instructions 801 CubicReg MATH/Statistics/Regressions menu CubicReg list1, list2[, [list3] [, list4, list5]] Calculates th

Page 791

802 Appendix A: Functions and Instructions cumSum() MATH/List menu cumSum(list1) ⇒⇒⇒⇒ list Returns a list of the cumulative sums of the elements i

Page 792 - ClrErr CATALOG

Appendix A: Functions and Instructions 803 Cycle CATALOG Cycle Transfers program control immediately to the next iteration of the current loop (For,

Page 793

804 Appendix A: Functions and Instructions Optionally, you can specify an initial guess for a variable. Each varOrGuess must have the form: variable

Page 794 - CopyVar CATALOG

Appendix A: Functions and Instructions 805 A non-real guess is often necessary to determine a non-real zero. For convergence, a guess might have to b

Page 795

806 Appendix A: Functions and Instructions prior to 1583 (pre-Gregorian calendar). Enter the year as a four-digit integer. The month and day can be

Page 796

Appendix A: Functions and Instructions 807 Define CATALOG Define funcName(arg1Name, arg2Name, ...) = expression Creates funcName as a user-defined

Page 797

808 Appendix A: Functions and Instructions DelType DelType var_type Deletes all unlocked variables of the type specified by var_type. Note: Possib

Page 798

Appendix A: Functions and Instructions 809 the general solution. initialCondition is an equation of the form: dependentVar (initialIndependentValue)

Page 799 - Digits mode in Fix 2:

Previews 81Log to Any BaseLog to Any BaseLog to Any BaseLog to Any BaseConverting Angle MeasuresConverting Angle MeasuresConverting Angle MeasuresCon

Page 800 - 8:Clear Home

810 Appendix A: Functions and Instructions diag() MATH/Matrix menu diag(list) ⇒⇒⇒⇒ matrix diag(rowMatrix) ⇒⇒⇒⇒ matrix diag(columnMatrix) ⇒⇒⇒⇒ ma

Page 801 - {0 2 3 4}

Appendix A: Functions and Instructions 811 Disp CATALOG Disp [exprOrString1] [, exprOrString2] ... Displays the current contents of the Program I/O

Page 802 - Custom 2¾key

812 Appendix A: Functions and Instructions 4444DMS MATH/Angle menu expression 4444DMS list 4444DMS matrix 4444DMS Interprets the argument as an ang

Page 803 - [2ø ‡2 

Appendix A: Functions and Instructions 813 DrawParm CATALOG DrawParm expression1, expression2 [, tmin] [, tmax] [, tstep] Draws the parametric equ

Page 804 - ClrHome or ƒ 8:Clear Home

814 Appendix A: Functions and Instructions DrwCtour CATALOG DrwCtour expression DrwCtour list Draws contours on the current 3D graph at the z value

Page 805 - 4mat CATALOG/MATH/List menu

Appendix A: Functions and Instructions 815 eigVc() MATH/Matrix menu eigVc(squareMatrix) ⇒⇒⇒⇒ matrix Returns a matrix containing the eigenvectors fo

Page 806 - 4Dec ¸ 31

816 Appendix A: Functions and Instructions EndLoop See Loop, page 840. EndPrgm See Prgm, page 855. EndTBar See ToolBar, page 891. EndTry See

Page 807 - DelFold CATALOG

Appendix A: Functions and Instructions 817 Exec CATALOG Exec string [, expression1] [, expression2] ... Executes a string consisting of a series of

Page 808 - DelVar CATALOG

818 Appendix A: Functions and Instructions expand(expression1,var) returns expression expanded with respect to var. Similar powers of var are collec

Page 809 - E20,1;0,1]!mat1 [

Appendix A: Functions and Instructions 819 ExpReg MATH/Statistics/Regressions menu ExpReg list1, list2 [, [list3] [, list4, list5]] Calculates the e

Page 810 - Dialog CATALOG

Previews 82Symbolic ManipulationSymbolic ManipulationSymbolic ManipulationSymbolic ManipulationSolve the system of equations 2x N 3y = 4 and Lx + 7y

Page 811 - 4 _hr ¸ 3.ø_hr

820 Appendix A: Functions and Instructions For the AUTO setting of the Exact/Approx mode, including var permits approximation with floating-point co

Page 812 - 4DMS only at the end of

Appendix A: Functions and Instructions 821 fMax() MATH/Calculus menu fMax(expression, var) ⇒⇒⇒⇒ Boolean expression Returns a Boolean expression sp

Page 813 - DropDown CATALOG

822 Appendix A: Functions and Instructions FnOn CATALOG FnOn Selects all Y= functions that are defined for the current graphing mode. In split-scre

Page 814 - ^() ¥ s key

Appendix A: Functions and Instructions 823 G[n][c]: Same as fixed format but also separates digits to the left of the radix into groups of three. c s

Page 815

824 Appendix A: Functions and Instructions Get CATALOG Get var Retrieves a CBL 2é (Calculator-Based Laboratoryé) or CBRé (Calculator-Based Rangeré)

Page 816 - 2ø (2ø x+1)

Appendix A: Functions and Instructions 825 getDenom( ) MATH/Algebra/Extract menu getDenom(expression1) ⇒⇒⇒⇒ expression Transforms expression1 into

Page 817

826 Appendix A: Functions and Instructions getMode() CATALOG getMode(modeNameString) ⇒⇒⇒⇒ string getMode("ALL") ⇒⇒⇒⇒ ListStringPairs If

Page 818 - ]) also distributes

Appendix A: Functions and Instructions 827 getTmZn() CATALOG getTmZn() ⇒⇒⇒⇒ integer Returns an integer representing the time zone that is currently

Page 819 - ¸ Done

828 Appendix A: Functions and Instructions getUnits() CATALOG getUnits() ⇒⇒⇒⇒ list Returns a list of strings that contain the current default unit

Page 820 - Fill MATH/Matrix menu

Appendix A: Functions and Instructions 829 Graph CATALOG Graph expression1[, expression2] [, var1] [, var2] The Smart Graph feature graphs the reque

Page 821 - FnOff CATALOG

Previews 83equation, and solve for the value of y. Then substitute the y value back into the first equation to solve for the value of x.Steps and key

Page 822 - For CATALOG

830 Appendix A: Functions and Instructions identity() MATH/Matrix menu identity(expression) ⇒⇒⇒⇒ matrix Returns the identity matrix with a dimensi

Page 823 - Func CATALOG

Appendix A: Functions and Instructions 831 imag(matrix1) ⇒⇒⇒⇒ matrix Returns a matrix of the imaginary parts of the elements. imag([a,b;ic,id]) ¸ [0

Page 824 - GetCalc CATALOG

832 Appendix A: Functions and Instructions inString() MATH/String menu inString(srcString, subString[, start]) ⇒⇒⇒⇒ integer Returns the character

Page 825 - second function 2

Appendix A: Functions and Instructions 833 isLocked() CATALOG isLocked(var_name) ⇒⇒⇒⇒ true,false Determines if var_name is locked or not. Returns t

Page 826 - ") ⇒

834 Appendix A: Functions and Instructions lcm() MATH/Number menu lcm(number1, number2) ⇒⇒⇒⇒ expression lcm(list1, list2) ⇒⇒⇒⇒ list lcm(matrix1,

Page 827

Appendix A: Functions and Instructions 835 limit() uses methods such as L’Hopital’s rule, so there are unique limits that it cannot determine. If exp

Page 828 - Goto CATALOG

836 Appendix A: Functions and Instructions LineTan CATALOG LineTan expression1, expression2 Displays the Graph screen and draws a line tangent to e

Page 829 - 4Hex MATH/Base menu

Appendix A: Functions and Instructions 837 @@@@list() MATH/List menu list(list1) ⇒⇒⇒⇒ list Returns a list containing the differences between cons

Page 830 - If CATALOG

838 Appendix A: Functions and Instructions LnReg MATH/Statistics/Regressions menu LnReg list1, list2[, [list3] [, list4, list5]] Calculates the log

Page 831 - InputStr CATALOG

Appendix A: Functions and Instructions 839 log() CATALOG/ ¥ 7 key log(expression1[,expression2]) ⇒ expression log(list1[,expression2]) ⇒ list R

Page 832

Previews 84This example is a demonstration of symbolic manipulation. A one-step function is available for solving systems of equations.Constants and

Page 833 - Lbl CATALOG

840 Appendix A: Functions and Instructions Logistic MATH/Statistics/Regressions menu Logistic list1, list2 [ , [iterations] , [list3] [, list4, lis

Page 834

Appendix A: Functions and Instructions 841 LU MATH/Matrix menu LU matrix, lMatName, uMatName, pMatName[, tol] Calculates the Doolittle LU (lower-upp

Page 835 - LineHorz CATALOG

842 Appendix A: Functions and Instructions mat4444list() MATH/List menu mat4444list(matrix) ⇒⇒⇒⇒ list Returns a list filled with the elements in

Page 836 - LineVert CATALOG

Appendix A: Functions and Instructions 843 MedMed MATH/Statistics/Regressions menu MedMed list1, list2[, [list3] [, list4, list5]] Calculates the me

Page 837

844 Appendix A: Functions and Instructions min() MATH/List menu min(expression1, expression2) ⇒⇒⇒⇒ expression min(list1, list2) ⇒⇒⇒⇒ list min(mat

Page 838 - Lock CATALOG

Appendix A: Functions and Instructions 845 nCr() MATH/Probability menu nCr(expression1, expression2) ⇒⇒⇒⇒ expression For integer expression1 and ex

Page 839 - 4logbase MATH/String menu

846 Appendix A: Functions and Instructions NewData sysData, matrix Loads the contents of matrix into the system data variable sysData. NewFold CA

Page 840 - Loop CATALOG

Appendix A: Functions and Instructions 847 NewPlot CATALOG NewPlot n, type, xList [,[yList], [frqList], [catList], [includeCatList], [mark] [, bucke

Page 841 - 4data MATH/List menu

848 Appendix A: Functions and Instructions Nest nInt() to do multiple numeric integration. Integration limits can depend on integration variables ou

Page 842

Appendix A: Functions and Instructions 849 nPr(matrix1, matrix2) ⇒⇒⇒⇒ matrix Returns a matrix of permutations based on the corresponding element pai

Page 843

Previews 85acceleration due to gravity, which is a constant named _g). Convert the result from newtons to kilograms of force.Steps and keystrokes Dis

Page 844 - MoveVar CATALOG

850 Appendix A: Functions and Instructions or MATH/Test menu Boolean expression1 or Boolean expression2 ⇒⇒⇒⇒ Boolean expression Returns true or

Page 845 - NewData CATALOG

Appendix A: Functions and Instructions 851 P4444Rx() MATH/Angle menu P4444Rx(rExpression, qExpression) ⇒⇒⇒⇒ expression P4444Rx(rList, qList) ⇒⇒⇒⇒

Page 846 - NewPic CATALOG

852 Appendix A: Functions and Instructions part(expression1, n) ⇒⇒⇒⇒ expression Simplifies expression1 and returns the nthargument or operand, wher

Page 847 - NewProb CATALOG

Appendix A: Functions and Instructions 853 PassErr CATALOG PassErr Passes an error to the next level. If “errornum” is zero, PassErr does not do any

Page 848

854 Appendix A: Functions and Instructions complexValue 4444Polar Displays complexVector in polar form. • Degree angle mode returns (rq). • Radia

Page 849 - OneVar MATH/Statistics menu

Appendix A: Functions and Instructions 855 PowerReg MATH/Statistics/Regressions menu PowerReg list1, list2[, [list3] [, list4, list5]] Calculates th

Page 850 - Output CATALOG

856 Appendix A: Functions and Instructions propFrac() MATH/Algebra menu propFrac(expression1[, var]) ⇒⇒⇒⇒ expression propFrac(rational_number) ret

Page 851 - {ë 3/2 5ø ‡2 1.3}

Appendix A: Functions and Instructions 857 PtText CATALOG PtText string, x, y Displays the Graph screen and places the character string string on th

Page 852

858 Appendix A: Functions and Instructions PxlOff CATALOG PxlOff row, col PxlOff rowList, colList Displays the Graph screen and turns off the pixel

Page 853

Appendix A: Functions and Instructions 859 QR MATH/Matrix menu QR matrix, qMatName, rMatName[ , tol] Calculates the Householder QR factorization of

Page 854 - PopUp CATALOG

Previews 86Basic Function Graphing I Basic Function Graphing I Basic Function Graphing I Basic Function Graphing I The example in this section demons

Page 855 - Prompt CATALOG

860 Appendix A: Functions and Instructions Note: list1 through list4 must be a variable name or c1–c99. (columns in the last data variable shown in

Page 856 - PtOn CATALOG

Appendix A: Functions and Instructions 861 R4444Pqqqq() MATH/Angle menu R4444Pqqqq (xExpression, yExpression) ⇒⇒⇒⇒ expression R4444Pqqqq (xList, yL

Page 857 - PxlLine CATALOG

862 Appendix A: Functions and Instructions randMat() MATH/Probability menu randMat(numRows, numColumns) ⇒⇒⇒⇒ matrix Returns a matrix of integers be

Page 858 - PxlVert CATALOG

Appendix A: Functions and Instructions 863 real(list1) ⇒⇒⇒⇒ list Returns the real parts of all elements. real({a+iù b,3,i}) ¸ {a 3 0} real(matrix

Page 859 - QR MATH/Matrix menu

864 Appendix A: Functions and Instructions remain() MATH/Number menu remain(expression1, expression2) ⇒⇒⇒⇒ expression remain(list1, list2) ⇒⇒⇒⇒ l

Page 860

Appendix A: Functions and Instructions 865 right() MATH/List menu right(list1[, num]) ⇒⇒⇒⇒ list Returns the rightmost num elements contained in lis

Page 861

866 Appendix A: Functions and Instructions rotate(string1[,#ofRotations]) ⇒⇒⇒⇒ string Returns a copy of string1 rotated right or left by #of Rotati

Page 862

Appendix A: Functions and Instructions 867 rowSwap() MATH/Matrix/Row ops menu rowSwap(matrix1, rIndex1, rIndex2) ⇒⇒⇒⇒ matrix Returns matrix1 with r

Page 863

868 Appendix A: Functions and Instructions secLLLL1() MATH/Trig menu secLLLL1(expression1) ⇒⇒⇒⇒ expression secLLLL1(list1) ⇒⇒⇒⇒ list Returns the an

Page 864 - Return CATALOG

Appendix A: Functions and Instructions 869 @ SendCalc var[,port] Sends contents of var from a TI-89 Titanium to another TI-89 Titanium. If the port i

Page 865

Previews 87learn how to enter a function, produce a graph of the function, trace a curve, find a minimum point, and transfer the minimum coordinates

Page 866

870 Appendix A: Functions and Instructions setFold() CATALOG setFold(newfolderName) ⇒ oldfolderString Returns the name of the current folder as a

Page 867 - RplcPic CATALOG

Appendix A: Functions and Instructions 871 3Applies only to 3D graph mode. 4Applies only to Sequence graph mode. 5Applies only to Diff Equations grap

Page 868

872 Appendix A: Functions and Instructions "Split Screen" "Full", "Top-Bottom", "Left-Right" "Split 1

Page 869 - SendChat CATALOG

Appendix A: Functions and Instructions 873 setTmZn() CATALOG setTmZn(integer) ⇒⇒⇒⇒ integerold Sets the time zone according to the argument and return

Page 870 - "chris"

874 Appendix A: Functions and Instructions Shade CATALOG Shade expr1, expr2, [xlow], [xhigh], [pattern], [patRes] Displays the Graph screen, graph

Page 871

Appendix A: Functions and Instructions 875 0b00000000000001111010110000110101 produces: 0b00000000000000111101011000011010 The result is displayed ac

Page 872 - "ASK"

876 Appendix A: Functions and Instructions simult() MATH/Matrix menu simult(coeffMatrix, constVector[, tol]) ⇒⇒⇒⇒ matrix Returns a column vector t

Page 873 - GMT by

Appendix A: Functions and Instructions 877 sin(squareMatrix1) ⇒⇒⇒⇒ squareMatrix Returns the matrix sine of squareMatrix1. This is not the same as ca

Page 874 - Shade CATALOG

878 Appendix A: Functions and Instructions sinhê(squareMatrix1) ⇒⇒⇒⇒ squareMatrix Returns the matrix inverse hyperbolic sine of squareMatrix1. This

Page 875 - ShowStat CATALOG

Appendix A: Functions and Instructions 879 Due to default cancellation of the greatest common divisor from the numerator and denominator of ratios, s

Page 876

Previews 884. Turn on Trace.The tracing cursor, and the x and y coordinates are displayed.Press …5. Open the MATH menu and select 3:Minimum.Press ‡ D

Page 877

880 Appendix A: Functions and Instructions If all of the equations are polynomials and if you do NOT specify any initial guesses, solve() uses the l

Page 878

Appendix A: Functions and Instructions 881 Each solution variable starts at its guessed value if there is one; otherwise, it starts at 0.0. Use guess

Page 879

882 Appendix A: Functions and Instructions stdDev() MATH/Statistics menu stdDev(list[, freqlist]) ⇒⇒⇒⇒ expression Returns the standard deviation o

Page 880

Appendix A: Functions and Instructions 883 StoGDB CATALOG StoGDB GDBvar Creates a Graph database (GDB) variable that contains the current: * Graphin

Page 881

884 Appendix A: Functions and Instructions Style CATALOG Style equanum, stylePropertyString Sets the system graphing function equanum in the curren

Page 882

Appendix A: Functions and Instructions 885 switch() CATALOG switch([integer1]) ⇒⇒⇒⇒ integer Returns the number of the active window. Also can set t

Page 883 - StoPic CATALOG

886 Appendix A: Functions and Instructions Table CATALOG Table expression1[, expression2] [, var1] Builds a table of the specified expressions or f

Page 884 - Style CATALOG

Appendix A: Functions and Instructions 887 tan(squareMatrix1) ⇒⇒⇒⇒ squareMatrix Returns the matrix tangent of squareMatrix1. This is not the same as

Page 885 - MATH/Matrix menu

888 Appendix A: Functions and Instructions tanhê () MATH/Hyperbolic menu tanhê (expression1) ⇒⇒⇒⇒ expression tanhê (list1) ⇒⇒⇒⇒ list tanhê (expre

Page 886 - Table CATALOG

Appendix A: Functions and Instructions 889 tExpand() MATH\Algebra\Trig menu tExpand(expression1) ⇒⇒⇒⇒ expression Returns an expression in which si

Page 887 - {0 tanh(1)}

Previews 89Basic Function Graphing II Basic Function Graphing II Basic Function Graphing II Basic Function Graphing II Graph a circle of radius 5, ce

Page 888

890 Appendix A: Functions and Instructions tmpCnv() CATALOG tmpCnv(expression1_¡tempUnit1, _¡tempUnit2) ⇒⇒⇒⇒ expression _¡tempUnit2 Converts a t

Page 889 - Title CATALOG

Appendix A: Functions and Instructions 891 Toolbar CATALOG Toolbar block EndTBar Creates a toolbar menu. block can be either a single statement or

Page 890 - , press ¥ 

892 Appendix A: Functions and Instructions TwoVar MATH/Statistics menu TwoVar list1, list2[, [list3] [, list4, list5]] Calculates the TwoVar statis

Page 891 - Try CATALOG

Appendix A: Functions and Instructions 893 variance() MATH/Statistics menu variance(list[, freqlist]) ⇒⇒⇒⇒ expression Returns the variance of list.

Page 892 - Unlock CATALOG

894 Appendix A: Functions and Instructions when() is helpful for defining recursive functions.when(n>0,nù factoral(nì 1),1) ! factoral(n) ¸ Done

Page 893

Appendix A: Functions and Instructions 895 XorPic CATALOG XorPic picVar[, row] [, column] Displays the picture stored in picVaron the current Graph

Page 894 - “With” See

896 Appendix A: Functions and Instructions ans(1)[2] ¸ r2 ë 3ør2 You can also (or instead) include unknowns that do not appear in the expressio

Page 895 - XorPic CATALOG

Appendix A: Functions and Instructions 897 ZoomData CATALOG ZoomData Adjusts the window settings based on the currently defined plots (and data) so

Page 896 - ZoomBox CATALOG

898 Appendix A: Functions and Instructions ZoomFit CATALOG ZoomFit Displays the Graph screen, and calculates the necessary window dimensions for th

Page 897 - ZoomDec CATALOG

Appendix A: Functions and Instructions 899 ZoomOut CATALOG ZoomOut Displays the Graph screen, lets you set a center point for a zoom out, and update

Page 898 - ZoomInt CATALOG

Getting Started 9TI-89 TitaniumTI-89 TitaniumTI-89 TitaniumTI-89 Titanium keys keys keys keysËÌÍÊ

Page 899 - ZoomSqr CATALOG

Previews 902. Display the Home screen. Then store the radius, 5, in variable r.Press " 5 9 j R ¸3. Display and clear the Y= Editor. Then define

Page 900 - + (add) « key

900 Appendix A: Functions and Instructions ZoomStd CATALOG ZoomStd Sets the window variables to the following standard values, and then updates the

Page 901 -

Appendix A: Functions and Instructions 901 list1 + list2 ⇒ list matrix1 + matrix2 ⇒ matrix Returns a list (or matrix) containing the sums of corres

Page 902 - e key

902 Appendix A: Functions and Instructions ù(multiply) p key expression1 ùexpression2 ⇒⇒⇒⇒ expression Returns the product of expression1 and expre

Page 903

Appendix A: Functions and Instructions 903 ^ (power) Z key expression1 ^ expression2 ⇒⇒⇒⇒ expression list1 ^ list2 ⇒⇒⇒⇒ list Returns the first arg

Page 904 - 4dec ¸ ë 37

904 Appendix A: Functions and Instructions .ù(dot mult.) ¶pkeys matrix1 .ù matrix2 ⇒⇒⇒⇒ matrix expression .ù matrix1 ⇒⇒⇒⇒ matrix matrix1 . ùmatri

Page 905 - < 2Âkey

Appendix A: Functions and Instructions 905 = (equal) Á key expression1 = expression2 ⇒⇒⇒⇒ Boolean expression list1 = list2 ⇒⇒⇒⇒ Boolean list matr

Page 906

906 Appendix A: Functions and Instructions ≤≤≤≤ ¹µkey expression1 ≤ expression2 ⇒⇒⇒⇒ Boolean expression list1 ≤ list2 ⇒⇒⇒⇒ Boolean list matrix1

Page 907 - 2<key

Appendix A: Functions and Instructions 907 & (append) ¥ p key string1 & string2 ⇒⇒⇒⇒ string Returns a text string that is string2 appended

Page 908 - CATALOG

908 Appendix A: Functions and Instructions ‡‡‡‡() (square root) 2]key ‡‡‡‡ (expression1) ⇒⇒⇒⇒ expression ‡‡‡‡ (list1) ⇒⇒⇒⇒ list Returns the squar

Page 909 - (spherical input)

Appendix A: Functions and Instructions 909 G (gradian) MATH/Angle menu expression1G ¡¡¡¡ ⇒⇒⇒⇒ expression list1G ¡¡¡¡ ⇒⇒⇒⇒ list matrix1G ¡¡¡¡ ⇒⇒⇒⇒

Page 910 - 4 _ft ¸ 9.842…ø_ft

Previews 91Note: There is a gap between the top and bottom halves of the circle because each half is a separate function. The mathematical endpoints

Page 911

910 Appendix A: Functions and Instructions (magnitude  angle) ⇒⇒⇒⇒ complexValue (polar input) Enters a complex value in (rq) polar form. The a

Page 912 - ¥ d key

Appendix A: Functions and Instructions 911 4444 (convert) 2 key expression_unit1 4444 _unit2 ⇒⇒⇒⇒ expression_unit2 Converts an expression from one

Page 913 - 0b, 0h µ j [B] keys

912 Appendix A: Functions and Instructions | (“with”) Í key expression | Boolean expression1 [and Boolean expression2]...[and Boolean expressionN

Page 914

Appendix A: Functions and Instructions 913 0b, 0h µ j [B] keys µ j [H] keys 0b binaryNumber 0h hexadecimalNumber Denotes a binary or hexadecim

Page 915

Appendix B: Technical Reference 915Appendix B: Technical ReferenceThis section contains a comprehensive list of TI-89 Titanium / Voyage™ 200 error me

Page 916 - ∗(x+1) is the correct

Appendix B: Technical Reference 916163 Attribute (8-digit number) of object (8-digit number) not found165 Batteries too low for sending or receiving

Page 917

Appendix B: Technical Reference 917280 Else and ElseIf invalid outside of If..EndIf block290 EndTry is missing the matching Else statement295 Excessi

Page 918

Appendix B: Technical Reference 918460 Invalid in Custom..EndCustm block470 Invalid in Dialog..EndDlog block480 Invalid in Toolbar..EndTBar block490

Page 919 - % or 1^undef replaced by 1

Appendix B: Technical Reference 919610 Invalid variable name in a Local statement620 Invalid variable or function name630 Invalid variable reference6

Page 920

Appendix B: Technical Reference 920850 Program not foundA program reference inside another program could not be found in the provided path during exe

Page 921 - E4 means 1.234567×10

Previews 92Basic Function Graphing IIIBasic Function Graphing IIIBasic Function Graphing IIIBasic Function Graphing IIIUse the “Detect Discontinuitie

Page 922 - E3 means 12.34567×10

Appendix B: Technical Reference 921TI-89 Titanium / Voyage™ 200 ModesTI-89 Titanium / Voyage™ 200 ModesTI-89 Titanium / Voyage™ 200 ModesTI-89 Titani

Page 923 - Split Screen

Appendix B: Technical Reference 922Note: For detailed information about using folders, see Calculator Home Screen.Display DigitsDisplay DigitsDisplay

Page 924

Appendix B: Technical Reference 923Note: If you select NORMAL, but the answer cannot be displayed in the number of digits selected by Display Digits,

Page 925

Appendix B: Technical Reference 924Split ScreenLets you split the screen into two parts. For example, you can display a graph and see the Y= Editor a

Page 926

Appendix B: Technical Reference 925Exact/ApproxExact/ApproxExact/ApproxExact/ApproxSpecifies how fractional and symbolic expressions are calculated a

Page 927 - TI-89 Titanium Key Codes

Appendix B: Technical Reference 926Unit SystemUnit SystemUnit SystemUnit SystemLets you enter a unit for values in an expression, such as 6_m * 4_m o

Page 928 - Key Modifier

Appendix B: Technical Reference 927TI-89 Titanium / Voyage™ 200 Character CodesTI-89 Titanium / Voyage™ 200 Character CodesTI-89 Titanium / Voyage™ 2

Page 929 - Voyage™ 200 Key Codes

Appendix B: Technical Reference 928TI-89 Titanium Key CodesTI-89 Titanium Key CodesTI-89 Titanium Key CodesTI-89 Titanium Key CodesThe getKey() funct

Page 930

Appendix B: Technical Reference 929¸CR 13 CR 13 ENTRY 4109Approx8205 CR 13§STO4 258 P 80 RCL 4354@64p112Á=61A65‘ 39"#157a97^EE 149 K 75,159 SYMB

Page 931

Appendix B: Technical Reference 930Table 2: Arrow Keys Table 2: Arrow Keys Table 2: Arrow Keys Table 2: Arrow Keys (including diagonal movement)Table

Page 932

Previews 934. Execute the Graph command, which automatically displays the Graph screen. Observe the “faux” asymptotes contained in the graph.Press 8

Page 933

Appendix B: Technical Reference 931Table 1: Key Codes for Primary KeysTable 1: Key Codes for Primary KeysTable 1: Key Codes for Primary KeysTable 1:

Page 934 - (prefixed by 2 G)

Appendix B: Technical Reference 932 Ïθ136θ136 : 58 8328 ·- 173 - 173 ANS 4372 8365¶. 46 . 46 > 62 8238µ0 48 0 48 < 60 8240¨1 49 1 49 E 149 8241

Page 935

Appendix B: Technical Reference 933S s 115 S 83β223 SAVE 8275T t 116 T 84 # 35 TBLSET 8276U u 117 U 85 Table 9 8277V v 118 V 86≠157 PASTE 8278W w 119

Page 936 - Overview of Complex Numbers

Appendix B: Technical Reference 934Table 2: Arrow Keys (including diagonal movement)Table 2: Arrow Keys (including diagonal movement)Table 2: Arrow K

Page 937

Appendix B: Technical Reference 935Table 5: Acute Accent Letters (prefixed by 2 E)Table 6: Greek Letters (prefixed by 2 G)Key Assoc. NormalÛ¤A á 225

Page 938 - , or cZeros()

Appendix B: Technical Reference 936Table 7: Tilde Letters (prefixed by 2 N)Table 8: Caret Letters (prefixed by 2 O)Table 9: Umlaut Letters (prefixed

Page 939

Appendix B: Technical Reference 937Entering Complex NumbersEntering Complex NumbersEntering Complex NumbersEntering Complex NumbersYou can enter comp

Page 940

Appendix B: Technical Reference 938Complex Format Mode for Displaying ResultsComplex Format Mode for Displaying ResultsComplex Format Mode for Displa

Page 941

Appendix B: Technical Reference 939Using Complex Variables in Symbolic CalculationsUsing Complex Variables in Symbolic CalculationsUsing Complex Vari

Page 942

Appendix B: Technical Reference 940Accuracy InformationAccuracy InformationAccuracy InformationAccuracy InformationTo maximize accuracy, the TI-89 Ti

Page 943 - J residualExpression

Previews 94Parametric GraphingParametric GraphingParametric GraphingParametric GraphingGraph the parametric equations describing the path of a ball k

Page 944

Appendix B: Technical Reference 941GraphGraphGraphGraphGraph ZoomGraph ZoomGraph ZoomGraph ZoomStatisticsStatisticsStatisticsStatisticsy1(x)–y99(x)*

Page 945

Appendix B: Technical Reference 942TableTableTableTableData/MatrixData/MatrixData/MatrixData/MatrixMiscellaneousMiscellaneousMiscellaneousMiscellaneo

Page 946 - Bogacki-Shampine 3(2) Formula

Appendix B: Technical Reference 943Parentheses, Brackets, and BracesParentheses, Brackets, and BracesParentheses, Brackets, and BracesParentheses, Br

Page 947 - Battery Information

Appendix B: Technical Reference 936Regression FormulasThis section describes how the statistical regressions are calculated.Least-Squares AlgorithmMo

Page 948

Appendix B: Technical Reference 945LnRegUses the least-squares algorithm and transformed values ln(x) and y to fit the model equation:y=a+b ln(x)Logi

Page 949

Appendix B: Technical Reference 946Contour Levels and Implicit Plot AlgorithmContour Levels and Implicit Plot AlgorithmContour Levels and Implicit Pl

Page 950 - In Case of Difficulty

Appendix B: Technical Reference 947Bogacki-Shampine 3(2) FormulaBogacki-Shampine 3(2) FormulaBogacki-Shampine 3(2) FormulaBogacki-Shampine 3(2) Formu

Page 951

Appendix B: Technical Reference 948Battery InformationBattery InformationBattery InformationBattery InformationThe TI-89 Titanium / Voyage™ 200 uses

Page 952

Appendix B: Technical Reference 949Replacing the Alkaline Batteries in the TI-89 Titanium1. If the TI-89 Titanium is on, turn it off (press 2 ®) to a

Page 953

Appendix B: Technical Reference 950Replacing the Lithium Battery in the Voyage 200Replacing the Lithium Battery in the Voyage 200Replacing the Lithiu

Page 954

Previews 953. Define the vertical component yt1(t) = v0tsinqN(g/2)t2.Enter values for v0, q, and g.Press ¸ 15T p 2 W 60 2 “ d | c 9.8 e 2 d T Z 2 ¸4.

Page 955

Appendix B: Technical Reference 951In Case of DifficultyIn Case of DifficultyIn Case of DifficultyIn Case of DifficultyIf you have difficulty operati

Page 956

Appendix B: Technical Reference 952If: Suggested action:The TI-89 Titanium appears to be “locked up” and will not respond to keyboard input.The follo

Page 957

Appendix C: Programmer’s Guide 955Appendix C: Programmer’s GuideThe parameter/mode strings used in the setMode( ), getMode( ), setGraph( ), and setTa

Page 958

Appendix C: Programmer’s Guide 956setMode( ) and getMode( )Parameter/Mode Setting StringsALL 0Graph1FUNCTION1PARAMETRIC2POLAR3SEQUENCE43D5DIFF EQUATI

Page 959

Appendix C: Programmer’s Guide 957FIX 910FIX 1011FIX 1112FIX 1213FLOAT14FLOAT 115FLOAT 216FLOAT 317FLOAT 418FLOAT 519FLOAT 620FLOAT 721FLOAT 822FLOAT

Page 960

Appendix C: Programmer’s Guide 958DEGREE2GRADIAN3Exponential Format4NORMAL1SCIENTIFIC2ENGINEERING3Complex Format5REAL1RECTANGULAR2POLAR3Vector Format

Page 961

Appendix C: Programmer’s Guide 959TOP-BOTTOM2LEFT-RIGHT3Split1App9(applications are not numbered)Split2App10(applications are not numbered)Number of

Page 962

Appendix C: Programmer’s Guide 9602:13Exact/Approx14AUTO1EXACT2APPROXIMATE3Base15DEC1HEX2BIN3Parameter/Mode Setting Strings

Page 963

Appendix C: Programmer’s Guide 961setGraph( )setGraph( )setGraph( )setGraph( )Parameter/Mode Setting StringsCoordinates 1RECT1POLAR2OFF3Graph Order 2

Page 964

Appendix C: Programmer’s Guide 962ON2Leading Cursor 5OFF1ON2Labels 6OFF1ON1Seq Axes 7TIME1WEB2Custom3Solution Method 8RK1EULER2Fields 9SLPFLD1DIRFLD2

Page 965

Previews 96Polar Graphing Polar Graphing Polar Graphing Polar Graphing The graph of the polar equation r1(q) = A sin Bq forms the shape of a rose. Gr

Page 966

Appendix C: Programmer’s Guide 963Y1-VS-Y22T-VS-Y'3Y-VS-Y'4Y1-VS-Y2'5Y1'-VS-Y2'6XR Style 11WIRE FRAME1HIDDEN SRUFACE2CONTOUR

Page 967 - [W] displays ω

964setTable( )setTable( )setTable( )setTable( )Parameter/Mode Setting StringsGraph <->Table 1OFF1ON2Independent 2AUTO1ASK2Axes4

Page 968 - Voyage™ 200 Shortcut Keys

Appendix D: Service and Warranty Information 965Appendix D: Appendix D: Appendix D: Appendix D: Service and Warranty InformationService and Warranty

Page 969 - Keystroke Differences

Appendix D: Service and Warranty Information 966For product (hardware) serviceFor product (hardware) serviceFor product (hardware) serviceFor product

Page 970

Appendix D: Service and Warranty Information 967Warranty Performance. During the above one (1) year warranty period, your defective product will be e

Page 971 - IndexIndex

Appendix D: Service and Warranty Information 968Australia & New Zealand Customers onlyAustralia & New Zealand Customers onlyAustralia & N

Page 972

969All Other CustomersAll Other CustomersAll Other CustomersAll Other CustomersFor information about the length and terms of the warranty, refer to y

Page 973

970TI-89 Titanium Shortcut KeysTI-89 Titanium Shortcut KeysTI-89 Titanium Shortcut KeysTI-89 Titanium Shortcut KeysGeneralGeneralGeneralGeneralOn-scr

Page 974

971Voyage™ 200 Shortcut KeysVoyage™ 200 Shortcut KeysVoyage™ 200 Shortcut KeysVoyage™ 200 Shortcut KeysGeneralGeneralGeneralGeneral On-screen Keyboar

Page 975

972Keystroke DifferencesKeystroke DifferencesKeystroke DifferencesKeystroke DifferencesThere are certain differences in keystrokes using the TI-89 Ti

Page 976

Previews 973. Select the ZoomStd viewing window, which graphs the equation.• The graph shows only five rose petals.- In the standard viewing window,

Page 977

973θ (Theta) ¥ ÏÏ| (“With”)Í2 Í' (Prime) 2 È 2 È° (Degree) 2 v2 v∠ (Angle) 2 ’ 2 ’Σ (Sigma) ½ Σ ( 2 [Σ]x (Reciprocal)½ ^-1 2 [x-1]Space j Spac

Page 978

1IndexIndexIndexIndexSymbols(!, factorial . . . . . . . . . . . . . . . . . . 74, 907(!, store . . . . . . . . . . . . . . . . . . . 596, 913("

Page 979

2description . . . . . . . . . . . . . . . . . . 13status . . . . . . . . . . . . . . . . . . . . . . 38(2 ; (MEMORY) . . . . . . . . . . . . . .

Page 980

3(x window variable . . . . . . . . . . . . . . 941(x/, reciprocal . . . . . . . . . . . . . . . . . . 912(y window variable . . . . . . . . .

Page 981

4shortcuts . . . . . . . . . . . . . . . . . . . . 33switching . . . . . . . . . . . . . . . . . . . 64Apps desktopcalculator Home screen and .

Page 982

5Box Plot . . . . . . . . . . . . . . . . . . . . . . 556builddata, BldData . . . . . . . 439, 596, 791table, Table . . . . . . . . . . . . . .

Page 983

6get/return, Get . . . . . . . . . . . . . . 825programs . . . . . . . . . . . . . . . . . . 633send list variable, Send . . . . . . . 869stati

Page 984

7colNorm( ), matrix column norm . . . . 794combinations, nCr( ) . . . . . . . . . . . . . 846comDenom( ), common denominator 795command mark . .

Page 985

8csch/( ),inverse hyperbolic cosecant 800cSolve( ), complex solve . . . . . . 240, 800cSolve(†), complex solve . . . . . . . . . 938cubic regressio

Page 986

9shift, shift( ) . . . . . . . . . . . . . . . . . 875sorting columns . . . . . . . . . . . . . 535statistical plots . . . . . . . . . . . . . .

Page 987

Previews 98Sequence Graphing Sequence Graphing Sequence Graphing Sequence Graphing A small forest contains 4000 trees. Each year, 20% of the trees wi

Page 988

10SLPFLD, slope field . . 415, 423, 448solution methods . . . . 414, 439, 948third order . . . . . . . . . . . . . . . . . . 431troubleshooting . .

Page 989

11polar, DrawPol . . . . . . 487, 632, 814slope, DrawSlp . . . . . . 495, 631, 814tangent line, LineTan . . . . . 632, 837vertical line, LineVert .

Page 990

12Circular definition . . . . . . . . . . . . 595clear error, ClrErr . . . . . . . . 636, 793Memory error . . . . . . . . . . . 713, 714Out-of-mem

Page 991

13parametric graphing . . . . . . . 94, 764path of a ball . . . . . . . . . . . . . . . . . 94polar rose . . . . . . . . . . . . . . . . . . . 96p

Page 992

14eyeφ z-axis window variable . . .378, 387, 388eyeθ x-axis window variable . . .378, 387, 388eyeψ rotation window variable .378, 387, 389Ffactor(

Page 993

152 K . . . . . . . . . . . . . . . . . . . . 17Apps desktop . . . . . . . . . . . . . . . . 37changing from split-screen . . . . . . 64displayin

Page 994

16getUnits( ), get/return units . . . . 617, 829global variables . . . . . . . . . . . . . . . . . 600go to, Goto . . . . . . . . . . . . 593, 609,

Page 995

17overview . . 302, 340, 347, 354, 375, 410panning . . . . . . . . . . . . . . . . . . . 323parametric . . . . . . . . . . . . . . . . . 347pa

Page 996

18highlighting text . . . . . . . . . . . . . . . . . 652Histogram . . . . . . . . . . . . . . . . . . . . . 557History areastatus . . . . . . . .

Page 997

19inverse cotangent, cot/() . . . . . . . . . 799inverse hyperboliccosecant, csch/() . . . . . . . . . . . 800cotangent, coth/() . . . . . . . .

Page 998

Previews 99Steps and keystrokes Display1. Display the MODE dialog box. For Graph mode, select SEQUENCE.Press 3 B 4 ¸2. Display and clear the Y= Edito

Page 999

20LineVert, draw vertical line . . . . 632, 837Link transmission table . . . . . . . . . . . 740linking and transmitting . . . . . . . 869, 870calc

Page 1000

21loop, Loop . . . . . . . . . . . . . . . . . . . . . 614LU, matrix lower-upper decomposition . . 842Mmat4data( ) . . . . . . . . . . . . . . . .

Page 1001

22conversions (2 4) . . . . . . . . . . 16median( ), median . . . . . . . . . . . . . . . 843medium-medium line regression, MedMed . . . . . . .

Page 1002

233D (three-dimensional) . . . . . . . . . 38Angle . . . . . . . 18, 38, 187, 305, 923APPROX . . . . . . . . . . . . . . . . . . . 38Approximate

Page 1003

24mRowAdd( ), matrix row multiplication and addition . . . . . . . . . . . . . . . . . . . . 845multiply, * . . . . . . . . . . . . . . . . . . . .

Page 1004

25OneVar, one-variable statistic . . . . . 850operating system . . . . . . . 733, 734, 735operating system (OS)downloading . . . . . . . . . . .

Page 1005

26off, PlotsOff . . . . . . . . 311, 628, 855on, PlotsOn . . . . . . . . 311, 628, 855selecting . . . . . . . . . . . . . . . 553, 560tracing .

Page 1006

27comment, | . . . . . . . . . . . . 581, 913conditional tests . . . . . . . . . . . . . 603copying . . . . . . . . . . . . . . . . . . . . 579cus

Page 1007

28menus . . . . . . . . . . . . . . . . 622, 626multicommand lines . . . . . . . . . . 580operations . . . . . . . . . . . . . . . . . 784outpu

Page 1008

29radian, R . . . . . . . . . . . . . . . . . . . . . . 910rand( ), random number . . . . . . . . . . 862randMat( ), random matrix . . . . 747,

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