AP微积分BC 2015年真题 附答案和评分标准 AP Calculus BC 2015 Real Exam with Answers and Scoring Guidelines.pdfVIP

AP® Calculus BC 2015 Free-Response Questions © 2015 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board. Visit the College Board on the Web: . AP Central is the official online home for the AP Program: . ® 2015 AP CALCULUS BC FREE-RESPONSE QUESTIONS CALCULUS BC SECTION II, Part A Time—30 minutes Number of problems—2 A graphing calculator is required for these problems. 2 t 1. The rate at which rainwater flows into a drainpipe is modeled by the function R, where R t 20sin 35 cubic feet per hour, t is measured in hours, and 0 t 8. The pipe is partially blocked, allowing water to drain out the other end of the pipe at a rate modeled by D t 0.04t3 0.4t2 0.96t cubic feet per hour, for 0 t 8. There are 30 cubic feet of water in the pipe at time t 0. (a) How many cubic feet of rainwater flow into the pipe during the 8-hour time interval 0 t 8 ? (b) Is the amount of w