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AP Central is the official online home for the AP Program: apcentral.collegeboard.com. 2007 AP® CALCULUS AB FREERESPONSE QUESTIONS
CALCULUS AB
SECTION II, Part A
Time—45 minutes
Number of problems—3
A graphing calculator is required for some problems or parts of problems. 1. Let R be the region in the first and second quadrants bounded above by the graph of y =
by the horizontal line y = 2. 20
and below
1 + x2 (a) Find the area of R.
(b) Find the volume of the solid generated when R is rotated about the xaxis.
(c) The region R is the base of a solid. For this solid, the cross sections perpendicular to the xaxis are
semicircles. Find the volume of this solid. WRITE ALL WORK IN THE PINK EXAM BOOKLET. © 2007 The...
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 Spring '09
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