Chapter 15.2, Problem 59E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use Property 11 to estimate the value of the integral.

**59.**

To determine

**To estimate:** The value of given double integral by property 11.

Explanation

**Property used:**

If
*D* then,

Here, the constants are denoted by *m*, and *M.*

The area of the given region *D* is denoted by

**Given:**

The function,

The region *S* is

**Calculation:**

From the given condition, it is observed that

Therefore,

That is,

Multiply by

Add 4 to all the terms,

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