Texas-instruments TITANIUM TI-89 User Manual download pdf (Page 96)

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Polar Graphing

Polar Graphing Polar Graphing

Polar Graphing

The graph of the polar equation r1(q) = A sin Bq forms the shape of a rose. Graph the

rose for A=8 and B=2.5. Then explore the appearance of the rose for other values of A

and B.

Steps and keystrokes Display

1. Display the MODE dialog box. For Graph

mode, select

POLAR. For Angle mode,

select

RADIAN.

Press 3 B 3 D D D B 1 ¸

2. Display and clear the

Y= Editor. Then

define the polar equation r1(q)=Asin Bq.

Enter 8 and 2.5 for A and B, respectively.

Press 8 # , 8 ¸ ¸ 8 2 W

2.5 8 Ï d ¸

1 2 ... 91 92 93 94 95 96 97 98 99 100

TI-89 Titanium 1
Graphing Calculator 1
Important Information 2
Getting Started 4
Getting Started 5 5
Progress bar 5
Getting Started 6 6
Getting Started 8 8
keys keys 9
Getting Started 10 10
TI-89 Titanium keys 10
Getting Started 12 12
Press Result 12
Getting Started 14 14
Mode settings 17
Mode settings Mode settings 17
Getting Started 18 18
Getting Started 19 19
Getting Started 21 21
1:English in 21
Note: The previous open App 21
Calculator Home screen 24
Getting Started 25 25
________ 27
Working with Apps 28
Getting Started 30 30
Getting Started 33 33
Getting Started 34 34
Getting Started 35 35
Bus iness 35
Getting Started 36 36
Checking status information 38
Turning off the Apps desktop 39
Using the clock 40
Getting Started 41 41
indicates you 41
Getting Started 42 42
Getting Started 43 43
Use cursor keys to highlight 43
Time and date 43
Getting Started 44 44
Getting Started 45 45
Getting Started 46 46
Scroll down to October 46
Getting Started 48 48
Clock off 48
Using menus 49
Using menusUsing menus 49
Getting Started 52 52
points to 52
Getting Started 55 55
Getting Started 56 56
Default custom menu 56
Normal toolbar menu 56
Getting Started 58 58
Using split screens 59
Getting Started 60 60
Getting Started 61 61
Getting Started 63 63
Getting Started 64 64
Getting Started 65 65
Getting Started 66 66
Getting Started 67 67
Getting Started 68 68
I/O portUSB port 68
Batteries 69
BatteriesBatteries 69
Getting Started 70 70
Getting Started 71 71
Indicator Meaning 71
Batteries are low 71
Getting Started 72 72
Previews 73
PreviewsPreviews 73
Previews 78 78
Previews 79 79
Previews 80 80
Previews 83 83
Catalog 83
Previews 84 84
Basic Function Graphing I 86
Basic Function Graphing II 89
Previews 90 90
Y= Editor. Then 90
Basic Function Graphing III 92
Previews 95 95
Window Editor. Enter 95
Trace. Then move the cursor 95
Previews 97 97
ZoomStd viewing window 97
Window Editor, and change 97
Window Editor 97
3D Graphing 101
3D Graphing 3D Graphing 101
Previews 102 102
ZoomStd viewing cube, which 102
Steps and keystrokes Display 102
Previews 103 103
Previews 108 108
Y= Editor and change yi1 to 108
Previews 109 109
Y= Editor or Window Editor 109
Y= Editor 109
Additional Graphing Topics 110
Previews 111 111
PIC1 as 111
TablesTables 112
Split Screens 114
Split ScreensSplit Screens 114
Previews 116 116
Y= Editor and open the 116
Window Editor in its place 116
Data/Matrix Editor 117
Statistics and Data Plots 119
Previews 120 120
Previews 125 125
Programming 128
Programming Programming 128
Text Operations 131
Previews 132 132
Text Editor and display the 132
Text Editor 132
Numeric Solver 133
Previews 135 135
ZoomStd 135
Numeric Solver and exit the 135
Number Bases 136
Number BasesNumber Bases 136
Previews 137 137
Base mode to HEX 137
Previews 138 138
Base mode to BIN 138
Previews 139 139
VAR-LINK screen 139
Previews 141 141
VAR-LINK, and highlight the 141
Manage toolbar menu to 141
Previews 142 142
Operating the Calculator 145
Setting the Display Contrast 147
The TI-89 Titanium Keyboard 148
Operating the Calculator 149 149
Modifier Keys 150
Modifier KeysModifier Keys 150
Entering Numbers 156
Operating the Calculator 157 157
Evaluated as M(2 157
Operating the Calculator 158 158
Represents 123.45 × 10 158
Operating the Calculator 161 161
2:abs from the Number 161
Type the function name in 161
Operating the Calculator 163 163
Displays last result only 163
Formats of Displayed Results 165
MenusMenus 175
Selecting an Application 181
From the Keyboard 184
Setting Modes 185
Setting ModesSetting Modes 185
¸ to confirm 190
¦x+c=0,x) 190
¸ to execute the command 190
Using the Catalog Dialog Box 191
Operating the Calculator 196 196
User-Defined to access 196
Operating the Calculator 200 200
The variable’s value 200
Operating the Calculator 201 201
Current Folder 201
Modifier Key 201
Angle Mode 201
Calculator Home Screen 205
Calculator Home Screen 212 212
Calculator Home Screen 213 213
4:Cut or 5:Copy 213
Calculator Home Screen 215 215
Calculator Home Screen 216 216
Calculator Home Screen 222 222
Using the Custom Menu 230
Calculator Home Screen 233 233
A:About 233
Symbolic Manipulation 235
Variable Management 237
Use the 237
function 237
Symbolic Manipulation 238 238
To delete: Do this: 238
DelVar function 238
Deltype function 238
• Take more computing time 241
Automatic Simplification 244
For example: 248
Symbolic Manipulation 252 252
is not always valid 253
is not always valid, the 254
Overview of the Algebra Menu 255
Reference module 256
3 to set 256
Common Algebraic Operations 258
or the Catalog 262
Overview of the Calc Menu 265
‰ integrate 266
Π product 266
Common Calculus Operations 267
Symbolic Manipulation 270 270
Symbolic Manipulation 275 275
5<3 is false 275
„ˆ (undetermined sign) 278
Entering Constants or Units 279
_, press: 291
_ or a digit. For 291
Basic Function Graphing 302
Basic Function Graphing 303 303
Setting the Graph Mode 304
Basic Function Graphing 307 307
Selecting Functions to Graph 309
• Press 310
• Select the applicable item 310
Basic Function Graphing 311 311
Style menu and press: 2 ˆ 311
Defining the Viewing Window 313
Changing the Graph Format 315
Basic Function Graphing 318 318
ReGraph) 318
Tracing a Function 321
Basic Function Graphing 323 323
Basic Function Graphing 324 324
Overview of the Math Menu 331
Basic Function Graphing 333 333
Basic Function Graphing 334 334
Basic Function Graphing 335 335
Basic Function Graphing 336 336
+ marks the point 336
Polar Graphing 340
Polar GraphingPolar Graphing 340
Polar Graphing 341 341
Parametric Graphing 347
Parametric Graphing 348 348
Sequence Graphing 354
Using Web Plots 364
Using Custom Plots 370
Sequence Graphing 374 374
Fibonacci sequence is 374
3D Graphing3D Graphing 375
Moving the Cursor in 3D 382
3D Graphing 383 383
3D Graphing 391 391
F] or 8 c Ú, respectively 391
3D Graphing 393 393
3D Graphing 395 395
Contour Plots 396
Contour PlotsContour Plots 396
3D Graphing 397 397
Style = CONTOUR LEVELS 397
Style = WIRE AND CONTOUR 397
3D Graphing 400 400
7:Draw Contour 400
Draw menu, press: 400
Implicit Plots 404
Implicit PlotsImplicit Plots 404
3D Graphing 407 407
Fields=SLPFLD 449
Fields=SLPFLDFields=SLPFLD 449
Fields=DIRFLD 450
Fields=DIRFLDFields=DIRFLD 450
Fields=FLDOFF 451
Fields=FLDOFFFields=FLDOFF 451
Tables 455 455
• Based on initial 457
• That matches 457
Graph screen 457
Displaying an Automatic Table 459
Tables 461 461
Tables 463 463
Building a Manual (Ask) Table 464
Tables 468 468
Graphing a Family of Curves 479
• 2 sin(x), x+4, cos(x) 481
• 4 sin(x), 2x+4 481
• 6 sin(x), 3x+4 481
Using the Two-Graph Mode 482
Coordinates, Axes, etc 484
1:ClrDraw 490
4:Circle 493
A:Tangent 494
Split Screens 515 515
Data/Matrix Editor 517 517
Name of list variable 517
Data/Matrix Editor 522 522
Data/Matrix Editor 526 526
Data/Matrix Editor 529 529
Sorting Columns 535
Data/Matrix Editor 536 536
4:Sort Col, adjust all 536
Data/Matrix Editor 539 539
Statistical Calculation Types 545
Statistical Variables 548
Defining a Statistical Plot 551
0), or Dot (¦) 552
Statistical Plot Types 554
3 or 2 ˆ 4 555
If You Have a CBL 2™ or CBR™ 568
ProgrammingProgramming 572
Programming 573 573
Programming 574 574
Programming 578 578
Programming 579 579
2:Save Copy As 579
Stop command 579
Programming 581 581
Description of the program 581
Description of expr 581
Programming 583 583
Programming 589 589
Return. This is useful for 589
Programming 591 591
Using Variables in a Program 593
!class\start 594
§ enters a ! symbol 596
toolbar menu 597
Programming 599 599
String Operations 600
String Commands 602
Conditional Tests 603
Configuring the 616
TI-89 TitaniumTI-89 Titanium 616
Creating a Custom Menu 622
• Press 2 ½ 623
• Press 2 ½ again 623
Programming 626 626
Clean Up: 626
3:Restore custom default 626
Creating a Table or Graph 627
Drawing on the Graph Screen 629
Drawing Expressions 632
Programming 633 633
I/O toolbar menu 633
Programming 635 635
CBL 2 or CBR 635
Command Description 635
Assembly-Language Programs 641
Programming 644 644
Exec command 644
Text EditorText Editor 645
Text Editor 647 647
Entering and Editing Text 648
Text Editor 653 653
6:Paste 653
Note: You can press: 653
Text Editor 654 654
Not found Does not move 654
Entering Special Characters 655
Text Editor 656 656
On the TI-89 Titanium: 656
Text Editor 657 657
Text Editor 658 658
Text Editor 661 661
1:Command 661
Text Editor 664 664
Numeric SolverNumeric Solver 666
Numeric Solver 669 669
Defining the Known Variables 670
Graphing the Solution 675
Numeric Solver 679 679
Checking and Resetting Memory 689
Manage and select 3:Rename 700
Connectivity 716
ConnectivityConnectivity 716
Connectivity 718 718
I/O Port 718
I/O unit-to-unit 718
Connectivity 720 720
Connectivity 721 721
All 1:Select All 721
VAR-LINK screen. (The 721
VAR-LINK 721
¸ twice 725
Connectivity 728 728
Connectivity 731 731
Connectivity 732 732
Connectivity 733 733
Connectivity 736 736
Error Message Description 736
Connectivity 738 738
Manage and select 738
A:Clear ID List 738
Connectivity 739 739
Link Transmission Table 740
Activities 741
ActivitiesActivities 741
Exploring a Matrix 746
Exploring cos(x) = sin(x) 748
Activities 754 754
Text Editor screen 754
Activities 757 757
CBL 2™ Program for the 761
Activities 772 772
Activities 773 773
Activities 774 774
Activities 776 776
RandSeed 776
Appendix A: 781
Functions and Instructions 781
Algebra 782
Calculus 782
Graphics 782
Matrices 783
Statistics 785
Strings 785
AndPic CATALOG 787
Archive CATALOG 788
4Bin MATH/Base menu 789
BldData CATALOG 790
Circle CATALOG 792
ClockOff CATALOG 792
ClockOn CATALOG 792
ClrDraw CATALOG 792
ClrErr CATALOG 792
CopyVar CATALOG 794
Digits mode in Fix 2: 799
ClrHome or ƒ 800
8:Clear Home 800
{0 1 2 3} 801
{0 2 3 4} 801
CustmOff CATALOG 802
CustmOn CATALOG 802
Custom 2¾key 802
[2ø ‡2  803
ClrHome or ƒ 8:Clear Home 804
4mat CATALOG/MATH/List menu 805
4Dec ¸ 19 806
4Dec ¸ 31 806
Define CATALOG 807
DelFold CATALOG 807
DelType 808
DelVar CATALOG 808
Eë 14 ù max(dim( 809
E20,1;0,1]!mat1 [ 809
Dialog CATALOG 810
4 _hr ¸ 3.ø_hr 811
4DMS only at the end of 812
DrawParm CATALOG 813
DrawPol CATALOG 813
DrawSlp CATALOG 813
DropDown CATALOG 813
DrwCtour CATALOG 814
^() ¥ s key 814
2ø (2ø x+1) 816
]) also distributes 818
¸ Done 819
Fill MATH/Matrix menu 820
FnOff CATALOG 821
FnOn CATALOG 822
For CATALOG 822
Func CATALOG 823
Get CATALOG 824
GetCalc CATALOG 824
second function 2 825
") ⇒ 826
Goto CATALOG 828
Graph CATALOG 829
4Hex MATH/Base menu 829
If CATALOG 830
Input CATALOG 831
InputStr CATALOG 831
Item CATALOG 833
Lbl CATALOG 833
Line CATALOG 835
LineHorz CATALOG 835
LineTan CATALOG 836
LineVert CATALOG 836
Local CATALOG 838
Lock CATALOG 838
4logbase MATH/String menu 839
Loop CATALOG 840
LU MATH/Matrix menu 841
4data MATH/List menu 841
MoveVar CATALOG 844
NewData CATALOG 845
NewFold CATALOG 846
NewPic CATALOG 846
NewPlot CATALOG 847
NewProb CATALOG 847
OneVar MATH/Statistics menu 849
Output CATALOG 850
{ë 3/2 5ø ‡2 1.3} 851
PopUp CATALOG 854
Prgm CATALOG 855
Prompt CATALOG 855
PtChg CATALOG 856
PtOff CATALOG 856
PtOn CATALOG 856
PtText CATALOG 857
PxlChg CATALOG 857
PxlCrcl CATALOG 857
PxlHorz CATALOG 857
PxlLine CATALOG 857
PxlOff CATALOG 858
PxlOn CATALOG 858
PxlText CATALOG 858
PxlVert CATALOG 858
QR MATH/Matrix menu 859
Rename CATALOG 864
Request CATALOG 864
Return CATALOG 864
RplcPic CATALOG 867
SendChat CATALOG 869
"chris" 870
"ASK" 872
GMT by 873
Shade CATALOG 874
ShowStat CATALOG 875
StoGDB CATALOG 883
Stop CATALOG 883
StoPic CATALOG 883
Style CATALOG 884
MATH/Matrix menu 885
Table CATALOG 886
{0 tanh(1)} 887
Text CATALOG 889
Then See If, page 830 889
Title CATALOG 889
, press ¥  890
Toolbar CATALOG 891
Trace CATALOG 891
Try CATALOG 891
TwoVar MATH/Statistics menu 892
Unarchiv CATALOG 892
Unlock CATALOG 892
While CATALOG 894
“With” See 894
XorPic CATALOG 895
ZoomBox CATALOG 896
ZoomData CATALOG 897
ZoomDec CATALOG 897
ZoomFit CATALOG 898
ZoomIn CATALOG 898
ZoomInt CATALOG 898
ZoomOut CATALOG 899
ZoomPrev CATALOG 899
ZoomRcl CATALOG 899
ZoomSqr CATALOG 899
ZoomStd CATALOG 900
ZoomSto CATALOG 900
ZoomTrig CATALOG 900
+ (add) « key 900
901
p key 902
e key 902
4dec ¸ 37 904
4dec ¸ ë 37 904
= (equal) Á key 905
≠ ¥ Á key 905
< 2Âkey 905
¥ p key 907
2<key 907
(square root) 2]key 908
CATALOG 908
(polar input) 909
(cylindrical input) 909
(spherical input) 909
4 _ft ¸ 9.842…ø_ft 910
¥ d key 912
0b, 0h µ j [B] keys 913
∗(x+1) is the correct 916
%^0 or undef^0 replaced by 1 919
% or 1^undef replaced by 1 919
E4 means 1.234567×10 921
E3 means 12.34567×10 922
Split Screen 923
TI-89 Titanium Key Codes 927
Key Modifier 928
Voyage™ 200 Key Codes 929
(prefixed by 2 E) 934
(prefixed by 2 G) 934
Overview of Complex Numbers 936
• Enter a complex number 938
, or cZeros() 938
J residualExpression 943
Bogacki-Shampine 3(2) Formula 946
Battery Information 947
In Case of Difficulty 950
TI-89 Titanium Shortcut Keys 967
[W] displays ω 967
Voyage™ 200 Shortcut Keys 968
Keystroke Differences 969
IndexIndex 971

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Texas-instruments TITANIUM TI-89 User Manual Page 96

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