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Unformatted text preview: ction Ï 600t
r (t ) = Ì t + 3
Ô1000e - 0.2 t
Ó for 0 £ t £ 5
for t > 5 (a) Is r continuous at t = 5 ? Show the work that leads to your answer.
(b) Find the average rate at which water is draining from the tank between time t = 0 and time t = 8 hours.
(c) Find r ¢(3) . Using correct units, explain the meaning of that value in the context of this problem.
(d) Write, but do not solve, an equation involving an integral to find the time A when the amount of water in
the tank is 9000 liters. WRITE ALL WORK IN THE EXAM BOOKLET. END OF PART A OF SECTION II
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-2- 2011 AP® CALCULUS AB FREE-RESPONSE QUESTIONS (Form B)
SECTION II, Part B
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