Chapter 15.3, Problem 38E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Let *D* be the disk with center the origin and radius *a*. What is the average distance from points in *D* to the origin?

To determine

**To find:** The average distance from the points in the region *D*.

Explanation

**Formula used:**

The average value of given function over the region *D* is,

*D*.

If *R* given by

If

**Given:**

The region *D* is the disk with center at origin and radius *a*

**Calculation:**

The distance between any point

Therefore,

From the given region *D*, *r* varies from 0 to *a*.

Substitute

Since the region *D* is the disk with radius *a*, the area of the given disk is

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