Math

CalculusQ&A Libraryt (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.Start your trial now! First week only $4.99!*arrow_forward*

Question

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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Calculus

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