Given the curves y = x and y = x2 - 4x rotated about the y-axis, which of the following integrals is correctly set up such that the volume of the solid can be obtaineding using the method of cylindrical shells? .5 (a) V = T -5 (b) V — 2т (² – 4x) - a]dr (c) V = 27 (d) V = 27 |

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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I0 BIIOWII.
Given the curves y = x and y = x2 - 4x rotated about the y-axis, which of the following integrals is
correctly set up such that the volume of the solid can be obtaineding using the method of cylindrical shells?
(a) V = 7
| (22 – 4x) dx
c5
(b) V = 27
[(x2 – 4x) – x]dx
(c) V = 27
| a[x - (x² – 4.x)]dx
(d) V = 27
Evaluate
r2
9.
Transcribed Image Text:I0 BIIOWII. Given the curves y = x and y = x2 - 4x rotated about the y-axis, which of the following integrals is correctly set up such that the volume of the solid can be obtaineding using the method of cylindrical shells? (a) V = 7 | (22 – 4x) dx c5 (b) V = 27 [(x2 – 4x) – x]dx (c) V = 27 | a[x - (x² – 4.x)]dx (d) V = 27 Evaluate r2 9.
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