Chapter 15.1, Problem 47E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the average value of *f* over the given rectangle.

**47.** *f*(*x*,* y*) *= x*^{2}*y*_{,} *R* has vertices (−1, 0), (−1, 5), (1, 5), (1, 0)

To determine

**To find:** The average value of given function over the region

Explanation

**Formula used:**

If

The average value of given function over the region

*R*.

**Given:**

The function is

The rectangular region,

**Calculation:**

From the given rectangular region it is observed that

Therefore,

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