Chapter 5.4, Problem 53E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

If oil leaks from a tank at a rate of *r*(*t*) gallons per minute at time *t*, what does

To determine

**To represent**: The integral function

Explanation

**Given information:**

The rate of oil leaked from the tank is

The integral function is

The net change theorem is shown below:

Here, the rate of change of the function *x* is *x* changes from *a* to *b* as

The rate of oil leaks from the tank is shown as

**Assumption:**

The volume of oil present at time *t* as

The negative sign represents decrease of volume due to oil leakage

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