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AP Calculus AB - download pdf or read online

By William Ma

ISBN-10: 007137714X

ISBN-13: 9780071377140

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Extra info for AP Calculus AB

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Below is a summary of the different parts of each section. Section I Multiple-Choice Part A 28 questions No Calculator 55 Minutes Part B 17 questions Calculator 50 Minutes Section II Free-Response Part A 3 questions Calculator 45 Minutes Part B 3 questions No Calculator 45 Minutes During the time allotted for Part B of Section II, students may continue to work on questions from Part A of Section II. However, they may not use a calculator at that time. Please note that you are not expected to be able to answer all the questions in order to receive a grade of 5.

1. The slope of a function f at any point (x, y) is 4x + 1 . The point (2, 4) is on the graph of f. 2y (a) Write an equation of the line tangent to the graph of f at x = 2. 1). dy 4x + 1 (c) Solve the differential equation = dx 2y with the initial condition f(2) = 4. 1). 2. A drum containing 100 gallons of oil is punctured by a nail and begins to leak at the rate of  πt  10 sin  gallons minute where t is measured  12  in minutes and 0 ≤ t ≤ 10. (a) How much oil to the nearest gallon leaked out after t = 6 minutes?

F ( x)dx = ∫ f ( x)dx − ∫ f ( x)dx III. ∫ f ( x)dx = ∫ f ( x)dx − ∫ f ( x)dx c a b a c b b c a b c b a c a b a c 0267-02/Part II 12/18/2001 17:24 Page 21 What You Need to Know About the AP Calculus AB Exam • (A) (B) y x 0 0 x 0 y (D) (C) y x 0 x Figure D-5 y f 0 10 Figure D-6 y 0 y (E) x 21 x 0267-02/Part II 12/18/2001 17:24 Page 22 22 • What You Need to Know About the AP Calculus AB Exam Section I—Part B Number of Questions Time Use of Calculator 17 50 Minutes Yes Directions: Use the same answer sheet as for Part A.

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AP Calculus AB by William Ma


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