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Unformatted text preview: the figure above. The region R is bounded by the
xaxis 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 xaxis. Copyright © 2001 by College Entrance Examination Board. All rights reserved.
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2 2001 AP® CALCULUS AB FREERESPONSE 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 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 over the time interval 0 t 15
days by using a trapezoidal approximation with subi...
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 Fall '14

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