Which of the following integrals represents the volume of the solid of revolution formed by revolving the region bound by the graphs of y= 4x -x², y = 0, x = 1, and x = 2 %3D about the line x=2? .2 (4x – x2)²dx .2 x(4x-x²)dx 1. .2 2T| (2 – x)(4x – x²)dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Which of the following integrals
represents the volume of the solid of
revolution formed by revolving the
region bound by the graphs of
y= 4x -x², y = 0, x = 1, and x = 2
about the line x=2?
.2
(4x – x2)²dx
.2
| x(4x-x2)dx
.2
(2 – x)(4x – x²)dx
|
1
4
| (2 + V4- y) dy
TT
3.
4
/ v(2+V4-y)dy
| (2- y)(2 + /4– y)dy
None of these
Transcribed Image Text:Which of the following integrals represents the volume of the solid of revolution formed by revolving the region bound by the graphs of y= 4x -x², y = 0, x = 1, and x = 2 about the line x=2? .2 (4x – x2)²dx .2 | x(4x-x2)dx .2 (2 – x)(4x – x²)dx | 1 4 | (2 + V4- y) dy TT 3. 4 / v(2+V4-y)dy | (2- y)(2 + /4– y)dy None of these
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