AP CALCULUS 1001 TI-89 pt.2. III. ALGEBRA SYSTEM Example 1: Cool! This Thing does Algebra !

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Presentation transcript:

AP CALCULUS 1001 TI-89 pt.2

III. ALGEBRA SYSTEM Example 1: Cool! This Thing does Algebra !

III. ALGEBRA SYSTEM Example 2: Super Cool! This Thing does Trig !

Fractions Reducing and Dividing: Reduce: Divide/ Decompose: #3 expand( #7 propFrac(

Fractions Adding and Subtracting: #6 comDenom( [F2] - Algebra Menu

#2:factor( ) over the Integers #2:factor(, x ) over the Real #’s over the Complex #’s #A: Complex 2:cFactor( ) Cool! Edit to:

1: solve(, variable ) 8: nSolve(, variable ) A: Complex 1:cSolve(, variable ) Solve for r. Solve for y.

[F2] Algebra #3: expand( COOl! WAY COOL! #9: Trig 1:tExpand(

Trig. Careful…..remember multiple answers! REM: Three answer forms: (a) principal answer (b) all answers in [0,2  ] c) all answers >

Trig. solve(,x) returns a weird = k 2  kn [1,255] if only one let n=0 Careful…..remember multiple answers!

= k if more than one let k 1 =1 & k 2 =2 Careful…..remember multiple answers!

IV. Graphing Preliminaries –1. Define a function [<>] [F1] y = –2. Viewing Window [<>] [F2] Window –3. Graph Menus [<>] [F3] GRAPH F2 Zoom F6 Style F4 –4. Alternate Paths [F4] [APPS]

Four Requirements: Graph using an appropriate window. (End Behavior, Roots, Max/Min) Evaluate. Find roots ( zeros, x-intercepts) Find intersections

Zeros Graph [F5] Math #2: Zero

Graph [F5] Math #5:Intersection Intersection

Draw Inverse: Graphing by finding the Inverse. Draw Inverse Function: [<>][F3] [F6] #2: DrawInv [F6] #1: ClrDraw

EXAMPLE: Job A pays $40,000 and promises a 4% annual raise. Job B pays $30,000 and promises a 6% annual raise. When will the two jobs pay the same? When will Job B pay more?

EXAMPLE (cont): Graph Find an appropriate Window. Find the Intersection. Answer. TRY: nSolve(y1(x)=y2(x),x)

Graph [MODE] Split Screen Left-Right Split 1 App Graph Split 2 App Table Split Screen

Regression on the 89 [APPS] #6:Data/MatrixEditor 3: New Variable : pressure Enter the data into C1 and C2 [F2]:Plot Setup [F1] x c1 y c2 [<>] [F2] [F2]:zoom #9:ZoomData Age Blood Pressure

Regression on the 89 cont. [APPS] #6:Data/MatrixEditor 1: Current [F5] : Calc Type #5: LinReg x c1 y c2 Store to y1(x) [<>] [F1] Y = [<>] [F3] GRAPH Age Blood Pressure Answer the following : (a). Estimate the Blood Pressure of a person of age 40. (b). Estimate the age of a person with Blood Pressure 143.

Last Update: 8/08/11