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#2015 BC CALCULUS FREE RESPONSE PRO#
College Boar d, Advanced Pla cem ent Pro gram, AP, AP Vertica l Team s, APCD, Pacese tter, Pr e-AP, SAT, Stude nt Searc h Ser vice, and t he acorn logo ar e regi stered trademarks of the College Entra nce Exa mination Board. Write, but do not solve, an equation involving one or more integrals that gives the time w when the pipe will begin to overflow.1989-1997 AP Calculus AB and BC Old FRQ with Solutions Advanced Placement.pdf | Plain TextĪP ® Calculus AB AP ® C a lc u lu s B C Free-Response Questions and Solutions 1989 – 1997 Copyrigh t © 2003 College E ntrance Examinat ion B oard. For t > 8, water continues to flow into and out of the pipe at the given rates until the pipe begins to overflow. (d) The pipe can hold 50 cubic feet of water before overflowing. (c) At what time t, 0 ≤ t ≤ 8, is the amount of water in the pipe at a minimum? Justify your answer. (b) Is the amount of water in the pipe increasing or decreasing at time t 3 hours? Give a reason for your answer. (a) How many cubic feet of rainwater flow into the pipe during the 8-hour time interval 0 ≤ t ≤ 8? There are 30 cubic feet of water in the pipe at time t = 0. The pipe is partially blocked, allowing water to drain out the other end of the pipe at a rate modeled by D(t) = -0.04t 3 + 0.4t 2 + 0.96t cubic feet per hour, for 0 ≤ t ≤ 8. The rate at which rainwater flows into a drainpipe is modeled by the function R, where cubic feet per hour, t is measured in hours, and 0 ≤ t ≤ 8.Questions and Worked Solutions for AP Calculus BC 2015.ĪP Calculus BC 2015 Free Response Questions - Complete Paper (pdf)ĪP Calculus BC 2015 Free Response Question 1
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