# 2 Q - AP Calculus AB 2009 Free-Response Questions Form B...

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2009 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS (Form B) © 2009 The College Board. All rights reserved. Visit the College Board on the Web: www.collegeboard.com. GO ON TO THE NEXT PAGE. -2- 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. At a certain height, a tree trunk has a circular cross section. The radius ( ) R t of that cross section grows at a rate modeled by the function ( ) ( ) 2 1 3 sin 16 dR t dt = + centimeters per year for 0 3, t £ £ where time t is measured in years. At time
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