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Volumes on infinite intervals Find the volume of the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 21E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 21E

Volumes on infinite intervals Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by f(x)= x−2 and the x-axis on the interval [1, ∞) is revolved about the x-axis.

Step-by-Step Solution:
Step 1 of 3

Problem 21E

Volumes on infinite intervals Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by f(x)= x−2 and the x-axis on the interval [1, ∞) is revolved about the x-axis.

Answer ;

 Step-1;

                 In this problem we need to find the volume of the solid founded by rotating around in the region

In order to find the volume, we will be using the following condition.

        If f is a function such that for all  in the interval , then the volume of the solid generated by revolving, around the x axis, the region bounded by the graph of , the x axis (y = 0) and the vertical lines andis given by the integral

                Volume

Step-2;

                 Now , we have to find out the volume of a solid  the region bounded by f(x) = = and the x-axis on the interval [1 ,  is  revolved about the x-axis.

                                            Consider f(x) = =

                                 Then the volume (V) is

                                         The graph of  f(x) =  =  is shown below

                                                           

                              Then   =...

Step 2 of 3

Chapter 7.7, Problem 21E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This full solution covers the following key subjects: axis, Intervals, described, exist, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 21E from 7.7 chapter was answered, more than 240 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 21E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Volumes on infinite intervals Find the volume of the described solid of revolution or state that it does not exist.The region bounded by f(x)= x?2 and the x-axis on the interval [1, ?) is revolved about the x-axis.” is broken down into a number of easy to follow steps, and 38 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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