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AP? Calculus BC 2010 Free-Response Questions The College Board The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the College Board is composed of more than 5,700 schools, colleges, universities and other educational organizations. Each year, the College Board serves seven million students and their parents, 23,000 high schools, and 3,800 colleges through major programs and services in college readiness, college admission, guidance, assessment, financial aid and enrollment. Among its widely recognized programs are the SAT?, the PSAT/NMSQT?, the Advanced Placement Program? (AP?), SpringBoard? and ACCUPLACER?. The College Board is committed to the principles of excellence and equity, and that commitment is embodied in all of its programs, services, activities and concerns. ? 2010 The College Board. College Board, ACCUPLACER, Advanced Placement Program, AP, AP Central, SAT, SpringBoard and the acorn logo are registered trademarks of the College Board. Admitted Class Evaluation Service is a trademark owned by the College Board. PSAT/NMSQT is a registered trademark of the College Board and National Merit Scholarship Corporation. All other products and services may be trademarks of their respective owners. Permission to use copyrighted College Board materials may be requested online at: /inquiry/cbpermit.html. Visit the College Board on the Web: . AP Central is the official online home for the AP Program: .  cos t 2010 AP? CALCULUS BC FREE-RESPONSE QUESTIONS CALCULUS BC SECTION II, Part A Time— 45 minutes Number of problems— 3 A graphing calculator is required for some problems or parts of problems. 1. There is no snow on Janet’s driveway when snow begins to fall at midnight. From midnight to 9 A.M., snow accumulates on the driveway at a rate modeled by f ( t ) = 7te cubic feet per hour, where t is measured