Volumes of solids Find the volume of the | Ch 7.4 - 44E

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

ISBN: 9780321570567 2

Solution for problem 44E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

Textbook Solutions
2901 Step-by-step solutions solved by professors and subject experts
Get 24/7 help from StudySoup virtual teaching assistants

Calculus: Early Transcendentals | 1st Edition

4 5 1 385 Reviews

Problem 44E

Volumes of solids

Find the volume of the following solids.

The region bounded by y = (1 − x2)−l/2 and y = 4 is revolved about the x-axis.

Step-by-Step Solution:

Problem 44E

Volumes of solids Find the volume of the following solids.

The region bounded by y = ${(1-{x}^{2}}^{\ }{)}^{-1/2}$ and y = 4 is revolved about the x-axis.

Answer;

Step 1; In this problem we need to find the volume of the solid founded by the region bounded by y = ${(1-{x}^{2}}^{\ }{)}^{-1/2}$ , and y =4 is revolved about the x-axis.

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

If f and g are the functions such that $f(x)\geq{}0$ and g(x) $\geq{}\ 0$ , for all $x$ in the interval $[{x}_{1},{x}_{2}]$ , then the volume of the solid generated by revolving, around the x axis, the region bounded by the graph of $f$ , g and the vertical lines $x={x}_{1}$ and $x={x}_{2}$ is given by the integral

Volume $=\int\limits_{{x}_{1}}^{{x}_{2}}\pi{}((f(x){)}^{2}-\ (g(x){)}^{2}\ )dx$

Step 2 of 3

Chapter 7.4, Problem 44E is Solved

Step 3 of 3

Textbook: Calculus: Early Transcendentals

Edition: 1

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567

The full step-by-step solution to problem: 44E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Volumes of solids Find the volume of the following solids.The region bounded by y = (1 ? x2)?l/2 and y = 4 is revolved about the x-axis.” is broken down into a number of easy to follow steps, and 27 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 44E from 7.4 chapter was answered, more than 239 students have viewed the full step-by-step answer. This full solution covers the following key subjects: solids, revolved, Find, region, bounded. This expansive textbook survival guide covers 112 chapters, and 5248 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.