![]() ![]() (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 AB 2015ĪP Calculus AB 2015 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2015 Free Response Question 1 ![]()
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