2001 Free Response

The region r is bounded by the x axis and the graphs

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Unformatted text preview: the figure above. The region R is bounded by the x-axis and the graphs of y = 2 − x 3 and y = tan x. The region S is bounded by the y -axis and the graphs of y = 2 − x 3 and y = tan x. (a) Find the area of R. (b) Find the area of S. (c) Find the volume of the solid generated when S is revolved about the x-axis. Copyright © 2001 by College Entrance Examination Board. All rights reserved. Advanced Placement Program and AP are registered trademarks of the College Entrance Examination Board. GO ON TO THE NEXT PAGE. 2 2001 AP® CALCULUS AB FREE-RESPONSE QUESTIONS W (t ) (°C) 20 31 28 24 22 21 t (days) 0 3 6 9 12 15 2. The temperature, in degrees Celsius (°C), of the water in a pond is a differentiable function W of time t. The table above shows the water temperature as recorded every 3 days over a 15-day period. (a) Use data from the table to find an approximation for W ‡(12). Show the computations that lead to your answer. Indicate units of measure. (b) Approximate the average temperature, in degrees Celsius, of the water over the time interval 0 ˆ t ˆ 15 days by using a trapezoidal approximation with subi...
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This document was uploaded on 02/17/2014.

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