ap11_calc_bc_form_b_q1 - AP \u00ae CALCULUS BC 2011 SCORING GUIDELINES(Form B Question 1 \u00a9 2011 The College Board Visit the College Board on the Web A

# ap11_calc_bc_form_b_q1 - AP u00ae CALCULUS BC 2011 SCORING...

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AP ® CALCULUS BC 2011 SCORING GUIDELINES (Form B) Question 1 A cylindrical can of radius 10 millimeters is used to measure rainfall in Stormville. The can is initially empty, and rain enters the can during a 60-day period. The height of water in the can is modeled by the function Swhere ( )S tis measured in millimeters and tis measured in days for 060.tThe rate at which the height of the water is rising in the can is given by ( )()2sin 0.031.5.Stt=(a) According to the model, what is the height of the water in the can at the end of the 60-day period? (b) According to the model, what is the average rate of change in the height of water in the can over the 60-day period? Show the computations that lead to your answer. Indicate units of measure. (c) Assuming no evaporation occurs, at what rate is the volume of water in the can changing at time 7 ?tIndicate units of measure. (d) © 2011 The College Board. Visit the College Board on the Web: . , + =