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Solution 11866: Algorithm for the Taylor() Series Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

...he algorithm for the taylor() function on the TI-89 family, TI-92 family, and Voyage 200 calculators? The algorithm for the taylor() function is as follows. taylor(u,x,n,a) is the sum(limit(d(u,x,k),x,a)*(x-a)^k/k!,k,0,n), computed iteratively to avoid redundant computation of lower-order deriv...
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Solution 12133: Entering a List on the Home Screen using the TI-89 Family, TI-92 Family, or Voyage™ 200 Graphing Calculators.

...Search How do I enter a List on the home screen using the TI-89 Family, TI-92 Family, or Voyage 200 graphing calculator? The example below will demonstrate how to enter a list on the home screen of a TI-89 Family, TI-92 Family or Voyage 200. Example: Create a list, called "test" which c...
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Solution 11865: The isPrime() Algorithm on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

... by the TI-89 family, TI-92 family, and Voyage 200 calculators divides by successive primes through the largest one less than 216. It does not actually keep a table or use a sieve to create these divisors, but cyclically adds the sequence of increments 2, 2, 4, 2, 4, 2, 4, 6, 2, 6 to generate...
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Solution 12130: Difference Between the FIX and FLOAT Display Digits Mode Settings on the TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators.

... setting is FLOAT 6, which means that results are rounded to a maximum of six digits. The [MODE] key can be used to select different settings which will apply to all exponential formats.Internally, the device calculates and retains all decimal results with up to 14 significant digits (although a ...
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Solution 11863: The factor() Function Algorithm on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

...factor() function returns the rational number factored into primes and a residual having prime factors that exceed 65521. The methods include the well-known factorizations of binomials and quadratics, together with methods described by Geddes, Czapor and Labahn, "Algorithms for Computer Algeb...
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Solution 11747: Entering the Fibonacci Sequence on the TI-89 Family, TI-92 Plus and Voyage™ 200.

...lus and Voyage 200? In a Fibonacci sequence the first two terms are 1 and 1. Each succeeding term is the sum of the two immediately preceding terms.Follow the procedure below to generate the Fibonacci sequence:• Press [MODE]• For the Graph mode, select 4:SEQUENCE• Press [ENTER] [ENTER] to save th...
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Solution 11861: The d() Function Algorithm on the TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators.

...vative of an expression with respect to a variable. The expression can be a list or a matrix. This function uses the chain rule together with the well-known formulas for the derivatives of sums, products, sinusoids, etc. The syntax for this function is: For an Expression: d(expression, var [,...
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Solution 11744: Entering Absolute Values on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

...he TI-89 family, TI-92 family, and Voyage 200.Example: Find |-9|1) Press the [CATALOG] key - [2nd] [CATALOG] on the TI-92 Family and Voyage 2002) Scroll to abs( and press [ENTER]3) Press [(-)] [9] [)]4) Press [ENTER] for the resultPlease see the TI-89 family, TI-92 family and Voyage 200 guidebook...
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Solution 12125: Converting a Number from Decimal to a Binary Number on the TI-89 Family, TI-92 Family, and Voyage 200™ Graphing Calculators.

.... The syntax for the operator is integer>Bin. Example: Enter 256 >Bin and press [ENTER] to return 0b100000000. Please Note: Binary numbers always have a 0b prefix. A number entered without the prefix 0b or 0h (for hexadecimal) is treated as decimal (base 10). Please see the TI-89 family, ...
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Solution 11741: Displaying the Correlation Coefficient (R) and Coefficient of Determination (R^2) on the TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators.

...-92 family and Voyage 200 graphing calculators to display the correlation coefficient and coefficient of determination? The correlation coefficient will only be displayed for linear regression calculations (LinReg). The coefficient of determination will be displayed for all polynomial regression ...
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Solution 12124: Computing the Average Rate of Change of an Expression on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

.... The expression can be a user-defined function. h is the step value and if h is omitted, it defaults to 0.001.Examples:1. Entering avgRC(f(x),x,h) will return (f(x+h)-f(x))/h2. avgRC(x^2-x+2,x) will return 2*(x-.4995)Please see the TI-89 family, TI-92 family, and Voyage 200 guidebooks for additi...
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Solution 11843: Limit() Function Algorithm on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

...g calculators? Limits of indeterminate forms are computed by series expansions, algebraic transformations and repeated use of L'Hopital's rule when all else fails. Limits of determinate forms are determined by substitution. Solution 11843: Limit() Function Algorithm on the TI-89 Family, TI-92 F...
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Solution 11734: Creating Repetition in a TI Basic Program on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

...arch How can I create a repetition in a TI Basic program on the TI-89 Family, TI-92 Family, and Voyage 200? There are three structures that allow to program tasks that repeat. The three repetition structures are: • The Loop...EndLoop. • The For ...EndFor. • The While...EndWhile. Each s...
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Solution 10422: Creating Box Plots Using the TI-86.

...or products Knowledge Base Knowledge Base Search How do I create a box plot on the TI-86? The example below will demonstrate how to create a box plot on the TI-86. Data for this example: xStat: {3,5,8,10} fStat: {7,8,14,18} To enter the data into the TI...
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Solution 11727: Computing the Dot Product on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

... Knowledge Base Search How do I calculate the dot product on the TI-89 family, TI-92 family and Voyage 200 graphing calculators? The following instructions demonstrate how to compute the dot product using the TI-89 family, TI-92 family and Voyage 200. Example: Find the dot product ...
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Solution 12119: Changing the Language on a TI-92 Plus, TI-89 Family, or Voyage™ 200 Graphing Calculators.

...nge the language on the TI-92 Plus, TI-89 family, and Voyage 200 calculators? To change the language on a TI-92 Plus, TI-89 family, and Voyage 200, follow the instructions below: 1) Press the [MODE] key. 2) Press [F3] and scroll to Language. 3) Use the left or right cursor to view the menu's choi...
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Solution 11789: Solving Quadratic Equations using the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

... Knowledge Base Search How do I solve quadratic equations using the TI-89 family, TI-92 family, and Voyage 200 graphing calculators? The following instructions demonstrate how to solve quadratic equations using the solve() command on the TI-89 family, TI-92 family, and Voyage 200 graph...
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Solution 11786: Running a Program on the TI-89 Family, TI-92 Plus or Voyage™ 200 Graphing Calculators.

...ly, TI-92 Plus or Voyage 200 graphing calculators? To execute a TI-Basic or ASM program on the TI-89 Family, TI-92 Plus or Voyage 200 calculators, follow the steps below listed below: 1) Make sure the calculator is on by pressing the [ON] key. 2) Make sure the calculator is on the HOME screen by...
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Solution 11725: Computing the Cross Product on the TI-89 Family and Voyage™ 200 Graphing Calculators.

...Knowledge Base Knowledge Base Search How do I calculate the cross product on TI-89 Family and Voyage 200 calculators? The following instructions demonstrate how to compute the cross product using a TI-89 Family or Voyage 200 calculator: For Example: Find the cross produc...
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Solution 12116: Calculating Weighted Mean Using the TI-89 Family, TI-92 Plus and Voyage™ 200 Graphing Calculators.

...ghted mean using the TI-89 family, TI-92 Plus and Voyage 200 graphing calculators. Example : Suppose a student's grade in a class is determined as follows: 65% is from the test mean, 25% is from the final exam, and 10% is from homework. If the student's test mean is 87 and the final exam grade i...
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Solution 10349: Calculation Method Used by the Polynomial Root Finder on the TI-85 and TI-86.

...I-86? The TI-85 polynomial root finder makes use of the built-in eigenvalue solver. The coefficients of the polynomial are used to create what is called a "companion matrix". Basically, the coefficients appear across a row or column (there are variations) and the rest of the matrix is all zeros...
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Solution 10583: Inverse or Reciprocal Function on the TI-86.

...rse function on the TI-86? The inverse function, x-1, on the TI-86 is accessed by pressing [2nd] [EE]. The inverse function will take the inverse of a number, list, function, or a square matrix. To take the inverse of a number type in the number, press [2nd][EE], and then...
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Solution 12115: Calculating the Transpose of a Matrix using the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.

... How do I calculate the transpose of a matrix using the TI-89 family, TI-92 family, and Voyage 200?                     The instructions below will show you how to transpose a matrix using the TI-89 family, TI-92 Family, and Voyage 200. For this example use the matrix below: To enter the...
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Solution 11714: Calculating the Eigenvalue and Eigenvector of a Matrix on the TI-89 Family, and Voyage™ 200 Graphing Calculators.

...x for this example is: [  5  3  12] [  6  1  5  ][  0  6  -2 ]To create the matrix, press [HOME] to return to the main screen of the calculator and follow the steps listed below.1) Press [2nd] [ [ ].2) Press [5] [,] [3] [,] [1] [2].3) Press [2nd] [;].4) Press [6] [,] [1] [,] [5].5) Press [0] [,] ...
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Solution 10580: Finding the Area Below a Function Using a TI-86.

...nd FnInt or the graphing integral function can be used. The FnInt function, which finds a numerical approximation for a definite integral, uses the following syntax: FnInt(expression, variable name, lower limit, upper limit) NOTE: To access this function, press [2nd] [CALC] [F5]. Example: Wha...
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