2 t for 0 t 5 for t 5 a is r continuous at t 5 show

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Unformatted text preview: ction Ï 600t Ô 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 © 2011 The College Board. Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT PAGE. -2- 2011 AP® CALCULUS AB FREE-RESPONSE QUESTIONS (Form B) CALCULUS AB SECTION II, Part B Time—60 minutes Number...
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