Chapter 5.4, Problem 68E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Water flows into and out of a storage tank. A graph of the rate of change *r*(*t*) of the volume of water in the tank, in liters per day, is shown. If the amount of water in the tank at time *t* = 0 is 25,000 L, use the Midpoint Rule to estimate the amount of water in the tank four days later.

To determine

**To calculate:** The amount of water in the tank after the 4 days duration by using the Midpoint Rule.

Explanation

**Given information:**

The amount of water in the tank at time

The general expression for Midpoint Rule is shown below:

Apply the conditions for midpoint rule as follows:

Here, width of the subinterval is *b*, the lower limit is *a*, the number of subintervals is *n*, and the midpoint of

**Calculation:**

Find the width of the subinterval

Substitute 4 for *n*, 4 days for *b*, and 0 for *a* in Equation (1).

The expression to find the amount of water in the tank for four days using midpoint rule is shown below.

Here, the amount of water at time

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