Calc+BC+-+AP+Review+3+(2013).pdf - AP CALCULUS BC AP REVIEW 3 Work these on notebook paper Use your calculator only on problems 25 and 29 25(Calc The

# Calc+BC+-+AP+Review+3+(2013).pdf - AP CALCULUS BC AP REVIEW...

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AP CALCULUS BC - AP REVIEW 3 Work these on notebook paper. Use your calculator only on problems 25 and 29. 25. (Calc) The tide removes sand from Sandy Point Beach at a rate modeled by the function R , given by   4 2 5sin . 25 t R t A pumping station adds sand to the beach at a rate modeled by the function S , given by   15 . 1 3 t S t t Both   R t and   S t have units of cubic yards per hour and t is measured in hours for 0 6. t At time t = 0, the beach contains 2500 cubic yards of sand. (a) How much sand will the tide remove from the beach during this 6-hour period? Indicate units of measure. (b) Write an expression for   , Y t the total number of cubic yards of sand on the beach at time t . (c) Find the rate at which the total amount of sand on the beach is changing at time t = 4. (d) For 0 6, t at what time t is the amount of sand on the beach a minimum? What is the minimum value? Justify your answer. _______________________________________________________________________________________
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