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Symbolic Manipulation 247

Finding Partial Expansions

With the

expand („ 3) function’s optional var value, you can do a partial expansion that

collects similar powers of a variable.

Solving an Equation

Use the

solve („ 1) function to solve an equation for a specified variable.

solve(equation, var)

Do a full expansion of (x

Nx) (y

Ny) with

respect to all variables.

Then do a partial expansion with respect to x.

Solve

x + y N 5 = 2x N 5y for x.

Notice that solve displays only the final result.

Table of Contents1
First Steps1
Important Information2
Usa Fcc Information Concerning Radio Frequency Interference2
Installing the Aaa Batteries4
Adjusting the Contrast5
Turning off the Calculator7
Entering Special Characters10
Modifier Keys13
Function Keys14
Mode Settings17
Changing Mode Settings19
Using the Clock39
Setting the Time40
Setting the Date41
Using Menus47
More Information53
- Deleting an Application64
- Battery Precautions69
Titanium72
- Expanding Expressions73
- Solving Equations75
- Parametric Graphing85
- Sequence Graphing90
- Numeric Solver124
- Deleting Variables134
- Turning the Calculator on and off136
- Setting the Display Contrast138
- Adjusting the Display Contrast138
- When to Replace Batteries139
- Entering Alphabetic Characters144
Entering Numbers147
- Entering Expressions and Instructions149
- Implied Multiplication151
- Entering an Expression152
- Continuing a Calculation155
- Formats of Displayed Results156
- Editing an Expression in the Entry Line162
- Moving the Cursor163
- Displaying a Menu167
- Selecting an Item from a Menu168
Text Editor173
- Setting Modes176
- Using the Clean up Menu to Start a New Problem180
- Using the Catalog Dialog Box182
- Storing and Recalling Variable Values188
- Data Types189
- Storing a Value in a Variable190
- Using a Variable in an Expression191
- Status Line Indicators in the Display192
- Using the Custom Menu221
- Using Undefined or Defined Variables226
- Automatic Simplification233
- Substituting Values and Setting Constraints238
- Overview of the Algebra Menu245
- Common Algebraic Operations248
- Solving an Equation250
- Overview of the Calc Menu255
- Special Constants Used in Symbolic Manipulation265
- Setting the Default Units for Displayed Results276
- Graphing Functions291
- Exploring the Graph292
- Setting the Graph Mode293
- Defining Functions for Graphing294
- Editing a Function296
- Selecting Functions to Graph298
- Setting the Display Style for a Function300
- Defining the Viewing Window302
- Changing the Graph Format304
- Graphing the Selected Functions306
- Smart Graph307
- Using Math Tools to Analyze Functions319
- Differences in Polar and Function Graphing331
- Setting the Graph Format333
- Graphing Sequences343
- Using Web Plots353
- Using Custom Plots359
- Moving the Cursor in 3D371
- Animating a 3D Graph Interactively380
- Animating a Series of Graph Pictures382
- Changing the Axes and Style Formats382
- Contour Plots385
- Implicit Plots393
- Setting Axes for Time or Custom Plots423
- Example of Time and Custom Axes424
- Example Comparison of Rk and Euler428
- Troubleshooting with the Fields Graph Format436
- Generating a Table442
- Setting up the Table Parameters443
- Displaying an Automatic Table447
- Before You Begin447
On/Off447
Collecting Data Points from a Graph457
Graphing a Function459
- Graphing a Piecewise Defined Function463
- Graphing a Family of Curves467
- Drawing a Function or Inverse on a Graph475
- Drawing a Circle481
- Saving and Opening a Graph Database491
- Deleting a Graph Database493
- Data Variable505
- Entering and Viewing Cell Values511
- Defining a Column Header with an Expression516
- Overview of Steps in Statistical Analysis528
- Performing a Statistical Calculation529
- Statistical Calculation Types533
- Statistical Variables536
- Defining a Statistical Plot539
- Statistical Plot Types542
- Graphing and Tracing a Defined Stat Plot548
- Using Frequencies and Categories551
- Running a Program560
- Overview of Entering a Program567
- Getting Values into a Program571
- Example of Passing Values to a Program572
- Overview of Entering a Function573
- Differences between Functions and Programs574
- Calling One Program from Another578
- Calling a Separate Program579
- Notes about Using Subroutines580
- Using Variables in a Program581
- Using Local Variables in Functions or Programs585
- What Causes an Undefined Variable Error Message586
- You Must Initialize Local Variables587
- Conditional Tests590
- Lbl and Goto Commands596
- Using Loops to Repeat a Group of Commands597
- Repeating a Loop Immediately603
- Getting Input from the User and Displaying Output605
- Creating a Custom Menu609
- Drawing on the Graph Screen616
- Debugging Programs and Handling Errors622
- Entering and Editing Text635
- Finding Text641
- Entering and Executing a Command Script648
- Defining the Known Variables657
- Editing the Equation660
- Solving for the Unknown Variable661
- Graphing the Solution662
- Displaying the Graph663
Number Bases667
- Converting between Number Bases668
- Comparing or Manipulating Bits671
- Resetting the Memory677
- Pasting a Variable Name to an Application692
- Connecting Two Units702
- Running the Program713
- Important Operating System Download Information714
- Where to Get Operating System Upgrades715
- Error Messages718
- Collecting and Transmitting ID Lists719
- Deriving the Quadratic Formula726
- Exploring a Matrix729
- Finding Minimum Surface Area of a Parallelepiped732
- Running a Tutorial Script Using the Text Editor734
- Decomposing a Rational Function736
- Visualizing Complex Zeros of a Cubic Polynomial748
- Solving a Standard Annuity Problem751
- Simulation of Sampling Without Replacement756
- Alphabetical Listing of Operations767
- Ti-89 Titanium / Voyage™ 200 Error Messages891
- Ti-89 Titanium / Voyage™ 200 Modes899
- Ti-89 Titanium / Voyage™ 200 Character Codes905
- Ti-89 Titanium Key Codes906
- Voyage™ 200 Key Codes909
- Entering Complex Numbers913
- Symbolic Calculations915
- Accuracy Information916
- System Variables and Reserved Names917
- Eos (Equation Operating System) Hierarchy918
- Regression Formulas920
- Contour Levels and Implicit Plot Algorithm922
- Runge-Kutta Method923
- Battery Information924
- In Case of Difficulty927
- Appendix B: Technical Reference929

Brand	Texas Instruments
Model	TI-89 Titanium
Category	Calculator
Language	English

Texas Instruments TI-89 Titanium User Manual

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