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# The Mean Value TheoremWater in a reservoir As a result of

ISBN: 9780321884077 57

## Solution for problem 19PE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 19PE

The Mean Value Theorem

Water in a reservoir As a result of a heavy rain, the volume of water in a reservoir increased by 1400 acre-ft in 24 hours. Show that at some instant during that period the reservoir’s volume was increasing at a rate in excess of 225,000 gal/min. (An acre-foot 43,560 ft3is the volume that would cover 1 acre to the depth of 1 ft. A cubic foot holds 7.48 gal.)

Step-by-Step Solution:

Step 1 of 2</p>

In this problem we have to show that at some instant during that period the reservoir’s volume was increasing at a rate in excess of 225,000 gal/min.

Given that  the volume of water in a reservoir increased by  hours.

Step 2 of 3 </p>

Let volume of the water in the reservoir at time t.

And be the initial amount.

is the number of minutes passing from the beginning,

In hours we have

gallons be the amount of water contained in the reservoir after the rain.

Step 2 of 2

##### ISBN: 9780321884077

Since the solution to 19PE from 4 chapter was answered, more than 220 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 19PE from chapter: 4 was answered by , our top Calculus solution expert on 08/01/17, 02:37PM. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. The answer to “The Mean Value TheoremWater in a reservoir As a result of a heavy rain, the volume of water in a reservoir increased by 1400 acre-ft in 24 hours. Show that at some instant during that period the reservoir’s volume was increasing at a rate in excess of 225,000 gal/min. (An acre-foot 43,560 ft3is the volume that would cover 1 acre to the depth of 1 ft. A cubic foot holds 7.48 gal.)” is broken down into a number of easy to follow steps, and 72 words. This full solution covers the following key subjects: acre, Volume, Reservoir, foot, gal. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

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