Chapter 5.R, Problem 16E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Let

(a) The area of

(b) The volume obtained by rotating

(c) The volume obtained by rotating

To determine

**a)**

**To calculate:**

The area of

Explanation

**1) Concept:**

The area A of the region bounded by the curves

**2) Given:**

The equations of the curvesare

**3) Calculation:**

First find the intersection points of the curves by solving their equations simultaneously.

Since the region lies in the first quadrant, only

To determine

**b)**

**To calculate:**

The volume obtained by rotating

To determine

**c)**

**To calculate:**

The volume obtained by rotating

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