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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 15day 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.
 Spring '09
 Calculus

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