Chapter 15, Problem 58RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

The **Mean Value Theorem for double integrals** says that if *f* is a continuous function on a plane region *D* that is of type I or II, then there exists a point (*x*_{0}, *y*_{0}) in *D* such that

To determine

**To prove:** The Mean value theorem for double integrals.

Explanation

**Given:**

**The Mean value theorem:**

If *f* is a continuous function on a plane region *D* that is of type 1 or 2, then there exists a point *D* such that

**Formula used:**

**Extreme value theorem for functions of two variables:**

If *f* is continuous on a closed, bounded set D in *f* attains an absolute maximum value *D.*

If *D,* then

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