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Unformatted text preview: ght © 2001 by College Entrance Examination Board. All rights reserved. Advanced Placement Program and AP are registered trademarks of the College Entrance Examination Board. 2 AP® CALCULUS AB 2001 SCORING GUIDELINES Question 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 t (days) 0 3 6 9 12 15 W (t ) (°C) 20 31 28 24 22 21 over the time interval 0 > t > 15 days by using a trapezoidal approximation with subintervals of length %t  3 days. (c) A student proposes the function P, given by P (t )  20 10te ( t / 3) , as a model for the temperature of the water in the pond at time t, where t is measured in days and P (t ) is measured in degrees Celsius. Find P =(12) . Using appropriate units, explain th...
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This document was uploaded on 05/03/2012.

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