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# Answer: Volumes on infinite intervals Find the volume of

ISBN: 9780321570567 2

## Solution for problem 22E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 22E

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) = (x2 + 1)?l/2 and the x-axis on the interval [2, ?) is revolved about the x-axis.

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Problem 22EVolumes 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) = ( and the x-axis on the interval [2, ) 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 [2 , is revolved about the x-axis. Consider f(x) = = Then the volume (V) is The graph of f(x) = = is shown below Step-3; Then = = dx = , sincedx= (x)+C = ()+ C. = ( -) +C, substitute the limits. =- , since - 1.1071487) - 1.1071487) Therefore , the volume of the described solid of revolution is

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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. 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) = (x2 + 1)?l/2 and the x-axis on the interval [2, ?) is revolved about the x-axis.” is broken down into a number of easy to follow steps, and 41 words. Since the solution to 22E from 7.7 chapter was answered, more than 346 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 22E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the 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.

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Answer: Volumes on infinite intervals Find the volume of