1999,2004,2005 AP Calculus Exam Solutions

# 1999,2004,2005 AP Calculus Exam Solutions - Coram Deo...

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FTC – Barb Currier - 1 - Coram Deo Academy Calculus Fundamental Theorem of Calculus AP Probs 3) (From AP Calculus Examination, 1999 AB 5/BC 5) The graph of the function f consisting of three line segments, is given above. Let 1 ( ) ( ) . x g x f t dt (a) Compute (4) and ( 2). gg (b) Find the instantaneous rate of change of g , with respect to x , at x = 1. (c) Find the absolute minimum value of g on the closed interval [-2, 4]. Justify your answer. (d) The second derivative of g is not defined at x = 1 and x = 2. How many of these values are x -coordinates of points of inflection of the graph of g ? Justify your answer.

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FTC – Barb Currier 2 2004 AB5 The graph of the function f shown above consists of a semicircle and three line segments. Let g be the function given by 3 ( ) ( ) x g x f t dt . (a) Find (0) g and (0) g . (b) Find all values of x in the open interval   5,4 at which g attains a relative maximum. Justify your answer. (c)
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## This note was uploaded on 03/20/2012 for the course MATH 161 taught by Professor Juan during the Fall '10 term at Purdue University-West Lafayette.

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1999,2004,2005 AP Calculus Exam Solutions - Coram Deo...

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