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# When is the volume finite Let R be the region bounded by ISBN: 9780321570567 2

## Solution for problem 61E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 61E

When is the volume finite? Let R be the region bounded by the graph of f(x)=x?p and the x-axis for 0

Step-by-Step Solution:

Problem 61EWhen is the volume finite Let R be the region bounded by the graph of and the x-axis for 0 < x < 1.a. Let S be the solid generated when R is revolved about the x-axis. For what values of p is the volume of S finiteb. Let S be the solid generated when R is revolved about the y-axis, For what values of p is the volume of S finiteSolutionStep 1In this problem we have to find when then the volume is finite.a. Let S be the solid generated when R is revolved about the x-axis. For what values of p is the volume of S finiteThe volume of S is given by the integral If (that is ) then the integral becomes, If , we have Thus the volume is finite if .Hence if p > 1/2 the volume is finite, but if p 1/2 the volume is infinite.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

The answer to “When is the volume finite? Let R be the region bounded by the graph of f(x)=x?p and the x-axis for 0<x<1.a. Let S be the solid generated when R is revolved about the x-axis. For what values of p is the volume of S finite?________________b. Let S be the solid generated when R is revolved about the y-axis, For what values of p is the volume of S finite?” is broken down into a number of easy to follow steps, and 69 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 61E from 7.7 chapter was answered, more than 304 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 61E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: axis, Volume, Finite, let, revolved. 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.

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When is the volume finite Let R be the region bounded by