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Calculus

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AP Calculus
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2003 AP MC

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Calculus
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Mathematical analysis
Mathematics
Functions and mappings
Analytic functions
Calculus
logarithms
derivative
Function
Trigonometric functions
Taylor series
Integration by substitution
integral
Technology

? ? ? ? ? ? ? ? ? ? ? ? ? ? M AREA - COMPLETE THIS AREA AT EVERY EXAMINATION. ~The AP"'ADVANCEDTo maintain lhe security 01 lhe exam and the vaftdily 01 my AP grade, I will allow no one other than myseff to see the multiple-ohoice queslicns and wiD seal the appropriate section when asked to do so. t will not discuss these questions .. .. College PLACEMENT PLACE AN AP ? NUMBER LABEL _ Board PROGRAM" Iwith anyone at any time after the completion of the multipl_ section. I em awam 01 and agree 10 the Program'. ~ policies and procecilJteS as outlined in the 2003 Buffetin for AP Stt.tdImts and Parents. OR WRITE YOUR AP NUMBER Answer Sheet for May 2003, Form 3ZBP HERE AT EVERY EXAMINATION. PAGE 1 ,...,. W Plintexamination name:.______________________

TI Nspire CAS Reference Guide

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Calculus
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TI-Nspire? CAS TI-Nspire? CX CAS Reference Guide This guidebook applies to TI-Nspire? software version 3.2. To obtain the latest version of the documentation, go to education.ti.com/guides. ii Important Information Except as otherwise expressly stated in the License that accompanies a program, Texas Instruments makes no warranty, either express or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection

Calculus AB #4

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Calculus
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trigonometry
Natural logarithm
Cofunction
Technology

Ws 4 ? TRIG VALUES Show your work in your NOTEBOOK! 1. Solve each such that 0 2x ?? ? . a. 3tan 3x ? b. 1sin 2x ? c. 3cos 2x ? d. tan 1x ? ? e. sin 1x ? ? f. cos 0x ? g. 2sin 2x ?? h. csc 2x ? ? i. 2 3sec 3x ? ? j. tan x is undefined. k. cot 0x ? 2. Solve each equation such that 0 2x ?? ? . a. 2cot cot 0x x? ? b. 22cos 7cos 4x x? ? c. 2 2cos sin sin 0x x x? ? ? d. 2 22sin 5sin 3sin 0x x x? ? ? e. 2sin 2cos 2x x? ? f. 24cos 1x ? g. 23cos 3 2sinx x? ? 3. RECALL! Evaluate each. a. 11sin 6 ? b. 3sin 2 ? c. cos? d. 2tan 3 ? e. csc 3 ? f. 4cos 3 ? 4. Solve each such that 0 2x ?? ? . Round each to 3 decimal places. a. sin 0.231x ? b. csc 2.675x ?? c. tan 0.219x ?? d. cot 1.290x ?

Calculus AB #3

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Calculus
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Calculus
Mathematical analysis
Mathematics
Multivariable calculus
Integral calculus
Mathematical series
Elementary algebra
Partial fraction
L'Hôpital's rule

?? ?? ? ? ?? ?? ? ? ?? ?? ? ? ?? ?? ? ? Ws 2 Calculus AB Harter 1. Identify each as odd, even or neither. a. 3 4 4y x x? ? ? b. c. 4 2y x? ? d. 2. Find the equation of a line in the form indicated that a. Passes thru (-2,-5) and (-5,3) (standard form) b. Perpendicular to 2x-3y=4 and passes thru (3,-3) (point slope form) 3. Solve the inequality. Write your answer in interval notation. a. 2 5 6x? ? ? b. 3 2 2x ? ? ? c. 2 3 4 8x? ? ? ? d. 3 22 2 3 3x x x? ? ? e. 2 6 8x x? ? ? 4. Convert each radian measure to degrees. a. 3 2 ? b. 5 6 ? c. 2 9 ? d. 4 3 ? e. 3 10 ? f. 19 180 ? g. 5 18 ? h. 11 6 ? i. 3 5 ? 5. Convert each degree to a radian measure. a. 210

Calculus AB #2

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Calculus
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Mathematics
Mathematical analysis
Calculus
Elementary algebra
equations
Multivariable calculus
Linear equation
Function
Curve sketching
Ordinary differential equation
education

?3 ?2 ?1 1 2 3 4 16 ?12 ?8 ?4 4 8 12 Ws 1 ? review intercepts, linear equations, inequalities, symmetry, domain/range Calculus AB SHOW WORK IN YOUR NOTEBOOK. Find the x and y intercepts of each. 1. 1 4 2 y x= ? 2. 2 3 6x y? = 3. 3 24 4 15y x x x= + ? 4. 22 11 6y x x= + ? Name the domain and range of each. Write your answers in interval notation. 5. ( ) 1 3 f x x = ? 6. 3y x= + 7. 236y x= ? 8. ( ) 3xg x x += Linear equations 9. Find the equation of the line that passes through the points (2,-3) and (-3,-1) in standard form. 10. Find the equation of the line that passes through the points (-3,-3) and (5,0) in point slope form. 11. Find the equation of the line that passes through the points (2,-5) and (2,-6) in any form.

Calculus AB #1

Subject: 
Calculus
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Mathematics
Analytic geometry
Elementary mathematics
geometry
Elementary algebra
equations
Linear equation
Slope
Y-intercept
Multivariable calculus
Second partial derivative test
law

?4 ?2 2 4 ?2 2 ?4 ?2 2 4 ?2 2 ?4 ?2 2 4 ?2 2 ?6 ?4 ?2 2 4 6 ?6 ?4 ?2 2 4 6 Ws zero ? review intercepts, linear equations Calculus AB SHOW WORK IN YOUR NOTEBOOK. Name the equation of the line from the graph below. 1. Find the slope. 2. ( ) ( )2,3 , 2, 5? ? 3. 7 3 5 1, , , 8 4 4 4 ? ? ? ??? ? ? ?? ? ? ? 4. ( ) ( )4,3 , 4, 1? ? ? Name three points on the line indicated. 5. 2 3y x= ? 6. 2 3 8x y? = Find the equation of the line that 7. passes thru the points (2,-3) and (-4, -6) in standard form. 8. passes thru the points (-1,3) and (5, 7) in standard form. 9. parallel to 2 3 8x y? = and thru (-2,-2) in point slope form. 10. perpendicular to 3 5 8x y? = and thru (-1,- 4) in standard form.

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