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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes.
t (min) |
5 |
10 |
15 |
20 |
25 |
30 |
V (gal) |
694 |
444 |
250 |
111 |
28 |
0 |
A. If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with t = 5, 10, 20, 25, and 30.
B. Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.
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