Texas Instruments TI-89 Manual Book

Texas instruments calculator software calculus tools guidebook

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Page 1 TI-89 / TI-92 Plus Calculus Tools Getting Started What is the Calculus Tools Application? Before You Begin Starting the Calculus Tools Application Calculus Tools Menus F1:Tools F4:Seq F2:Deriv F5:Vector F3:Integ F6:Advanced More Information Calculus Tools Application Functions 8/10/01 © 2001 Texas Instruments...
Page 2 Instruments, regardless of the form of action, shall not exceed any applicable purchase price of this item or material. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.
Page 3: What Is The Calculus Tools Application
What is the Calculus Tools Application? The Calculus Tools application (App) is a Concept software application for the TI-89 / TI-92 Plus. Concept software applications are calculator software application prototypes that demonstrate a new concept area. The Calculus Tools App extends the built-in power of your TI-89 / TI-92 Plus by providing more specialized functionality.
Page 4: Before You Begin
Please send your comments and questions to concept@list.ti.com. Mode settings The Calculus Tools App requires specific mode settings to run correctly. If you try to access the application with incorrect mode settings, this error dialog box will appear: TI-89 / TI-92 Plus Calculus Tools Page 4...
Page 5: Ti-89 Dialog Boxes
2 ° keys, are unavailable for the Calculus Tools App. TI-89 dialog boxes Press j to turn alpha-lock off before entering numbers. The TI-89 Calculus Tools App dialog boxes default to alpha-lock. TI-89 / TI-92 Plus Calculus Tools Page 5...
Page 6: Using Variables From The Main Folder
• For answers that are partially hidden when viewed in a split • For answers that are too long to be viewed in a full screen, use the Display Answer option. • You cannot switch back and forth between the split screen portions. TI-89 / TI-92 Plus Calculus Tools Page 6...
Page 7 Dialog boxes for most F2 through F6 menu options revert to default values after data is entered. Dialog boxes for the F3 menu options, however, display the values entered last. This is the problem-entry dialog box for „ 1:Tangent Line TI-89 / TI-92 Plus Calculus Tools Page 7...
Page 8 Lets you view an answer that is too long to fit on the screen. (Answers are displayed as a string.) press ¸ . Scroll to see the complete answer displayed You can also go to the Home screen, type answer, and in Pretty Print. TI-89 / TI-92 Plus Calculus Tools Page 8...
Page 9 ¸ . The last command To run a Calculus Tools App function from the Home (function and instructions) executed appears. Be sure to remove the quotes from the string before executing the command. TI-89 / TI-92 Plus Calculus Tools Page 9...
Page 10 • 1:1 displays the answer and graph views at the same size. • 1:2 displays the answer view at half the size of the graph view. • 2:1 displays the answer view at twice the size of the graph view. TI-89 / TI-92 Plus Calculus Tools Page 10...
Page 11 3.55102040816 xscl ymin ymax yscl xres F1 5:Special Thanks Acknowledges some of the Calculus Tools App contributors. F1 6:About Displays a variety of information about the application, including the version number. TI-89 / TI-92 Plus Calculus Tools Page 11...
Page 12 Displays the problem-entry dialog box for the tanLine(...) function along with an example problem (page 35). F2 2:Normal Line Displays the problem-entry dialog box for the prpendic(...) function along with an example problem (page 34). TI-89 / TI-92 Plus Calculus Tools Page 12...
Page 13 ¸ or N to view the consecutive guesses. This example The application draws the first guess for you. Press either shows four iterations. TI-89 / TI-92 Plus Calculus Tools Page 13...
Page 14 Displays the problem-entry dialog box for the impDifN(...) function along with an example problem (page 32). F2 5:Curvature Displays the problem-entry dialog box for the curvatur(...) function along with an example problem (page 31). TI-89 / TI-92 Plus Calculus Tools Page 14...
Page 15 Displays the problem-entry dialog box for the cntrCurv(...) function along with an example problem (page 30). F2 7:Osculating Circle Displays the problem-entry dialog box for the oscCircl(...) function along with an example problem (page 33). TI-89 / TI-92 Plus Calculus Tools Page 15...
Page 16 (x), Lower bound, Upper bound, and Number of intervals. The answer appears in a split screen. One portion of the split screen displays the sum of the areas of the rectangles. TI-89 / TI-92 Plus Calculus Tools Page 16...
Page 17 The answer appears in a split screen. One portion of the split screen displays the sum of the areas of the rectangles. The other portion of the split screen displays the graph of the function and draws the rectangles. TI-89 / TI-92 Plus Calculus Tools Page 17...
Page 18 The number of intervals must be an even integer ‚ 2. Note The answer appears in a split screen. One portion of the split screen displays the Simpson’s Rule approximation to the definite integral by using parabolic arcs. TI-89 / TI-92 Plus Calculus Tools Page 18...
Page 19 F3 6:Comparison Returns the approximation to the definite integral using these previously mentioned methods: Left Sum, Right Sum, Midpoint Rule, Trapezoidal Rule, and Simpson’s Rule (pages 16 through 18). TI-89 / TI-92 Plus Calculus Tools Page 19...
Page 20: F4'Eq (Infinite Series, Sequences)
Displays the problem-entry dialog box for the ratioTst(...) function (page 34) along with an example problem. F4 2:1st-Order Sequence Displays the problem-entry dialog box for the seq1Solv(...) function (page 34) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 20...
Page 21 Displays the problem-entry dialog box for the seq2Solv(...) function (page 35) along with an example problem. F5:Vector F5 1:Gradient Displays the problem-entry dialog box for the grad(...) function (page 32) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 21...
Page 22 The number of components in exprList must equal the number of variables in varList. F5 3:Curl Displays the problem-entry dialog box for the curl(...) function (page 30) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 22...
Page 23 Displays the problem-entry dialog box for the potentl(...) function (page 33) along with an example problem. F6:Advanced F6 1:Error Function, erf Displays the problem-entry dialog box for the erf(...) function (page 31) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 23...
Page 24 Displays the problem-entry dialog box for the erfc(...) function (page 31) along with an example problem. F6 3:Gamma Function Displays the problem-entry dialog box for the gamma(...) function (page 32) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 24...
Page 25 (page 32) along with an example problem. F6 5:Integral of Density F6 5:Integral of Density > 1:over a Surface Displays the problem-entry dialog box for the surfIntg(...) function (page 35) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 25...
Page 26 Use density 1 for an unweighted polar area. F6 6:Centroid of Density Displays the problem-entry dialog box for the aCntroid(...) function (page 29) along with an example problem. TI-89 / TI-92 Plus Calculus Tools Page 26...
Page 27 Displays the problem-entry dialog box for the aInertia(...) function (page 30) along with an example problem. F6 8:Arc Displacement Displays the problem-entry dialog box for the plrArcLn(...) function along with an example problem (page 33). TI-89 / TI-92 Plus Calculus Tools Page 27...
Page 28: Working With Calculus Tools App Functions
Accessing Calculus Tools App functions from the Catalog 1. From the Home screen, press ½ (TI-89) / š 2. Press c. The list of Flash application functions appears. (TI-92 Plus). The catalog appears.
Page 29: List Of Calculus Tools App Functions
Accessing Calculus Tools App functions from VAR-LINK 1. From the Home screen, press 2 ° . The 2. Press 2 ‰ (TI-89) / g (TI-92 Plus). The list of Flash screen appears. VAR-LINK [ALL] application functions appears. 3. Scroll through the list and select the function you want to use.
Page 30 Returns the three-dimensional rectangular Cartesian curl of the vector represented by with respect to the exprList coordinate variables xVar, yVar, zVar F5 3:Curl to display the problem-entry dialog box and example for this function. TI-89 / TI-92 Plus Calculus Tools Page 30...
Page 31 Returns the approximate numeric error function of complexNumber F6 1:Error Function, erf to display the problem-entry dialog box and example for this function. erfc (complexNumber) Returns the approximate complementary error function of complexNumber TI-89 / TI-92 Plus Calculus Tools Page 31...
Page 32 (equation, IndependentVar, DependentVar, n) Returns the th derivative of the function implicitly defined by equation F2 4:Implicit Derivative to display the problem-entry dialog box and example for this function. TI-89 / TI-92 Plus Calculus Tools Page 32...
Page 33 Does not verify that exprList is a gradient, so first see if curl(exprList, xVar, yVar, zVar) simplifies to {0,0,0}, as it should for a gradient. F5 4:Potential to display the problem-entry dialog box and example for this function. TI-89 / TI-92 Plus Calculus Tools Page 33...
Page 34 Attempts to return an exact symbolic expression for u(n) that satisfies the linear 1st-order sequence equation u(n)=p(n) … u(n-1)+r(n) with u(nMin)=ui. F4 2:1st-Order Sequence to display the problem-entry dialog box and example for this function. TI-89 / TI-92 Plus Calculus Tools Page 34...
Page 35 . (In contrast, the built-in LineTan command varValue draws the tangent line but does not reveal its formula.) F2 1:Tangent Line to display the problem-entry dialog box and example for this function. TI-89 / TI-92 Plus Calculus Tools Page 35...
Page 36: Installing The Calculus Tools App
Detailed Flash application installation instructions are available from education.ti.com/guides. You will need: • A TI-89 / TI-92 Plus with the latest Advanced Mathematics Software Operating System. Download a free copy from education.ti.com/softwareupdates. • A computer using either Microsoft ë Windows ë or Apple ë...
Page 37: Starting And Quitting The Application
Starting and Quitting the Application Starting the Calculus Tools App The instructions in this guidebook refer to this Flash application only. For help using the TI-89 / TI-92 Plus, refer to the comprehensive guidebook at education.ti.com/guides. 1. Ensure modes are set to the required values.
Page 38: Deleting An Application
2. Press 2 ° to display the Quit the application. 3. Press 2 ‰ (TI-89) / ‰ (TI-92 Plus) to display the list of screen. VAR-LINK [ALL] applications. 5. Press ƒ...
Page 39: Concept Application Evaluation License Agreement
[c](1)(ii) of the Rights in Technical Data and Computer Software clause at DFARS 252.227-7013 or in subparagraph [c](1) and (2) of the Commercial Computer Software - Restricted Rights at 48 CFR 52.227-19, as applicable. TI-89 / TI-92 Plus Calculus Tools Page 39...
Page 40 Starting and Quitting the Application ..............37 Starting the Calculus Tools App ..............37 Quitting the Calculus Tools App ..............37 Deleting an Application..................38 Concept Application Evaluation License Agreement ........... 39 TI-89 / TI-92 Plus Calculus Tools Page 40...

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