Which of the following represents the volume of the solid generated by revolving the region bounded by f(x)=(x-1)³ and g(x)=x-1 about the x-axis? AT А π Sª [(x − - - J 1)² – (x − 1)²]dx + π [ ª[(x - 1)²-(x - 1)*]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 represents the volume of the solid generated by revolving the region bounded by
f(x)=(x-1)³ and g(x)=x-1 about the x-axis?
AT
A)
- 1/
π Sª [(x − 1)² – (x − 1)²]dx + π *ª[(x - 1)²-(x - 1)*]dx
℗ 2√x
B 2x x[(x-1) = (x-1) ³]dx + 2x²x[(x-1)³=(x-1)]dx
Ⓒ2x'x[(x-1)³=(x-1)]dx + 2xx[(x-1)=(x-1) ³]dx
0
1
℗ ²[(x - 1)²-(x - 1)²]dx - π/²[(x - 1)²-(x - 1)ª]dx
D
П
Transcribed Image Text:Which of the following represents the volume of the solid generated by revolving the region bounded by f(x)=(x-1)³ and g(x)=x-1 about the x-axis? AT A) - 1/ π Sª [(x − 1)² – (x − 1)²]dx + π *ª[(x - 1)²-(x - 1)*]dx ℗ 2√x B 2x x[(x-1) = (x-1) ³]dx + 2x²x[(x-1)³=(x-1)]dx Ⓒ2x'x[(x-1)³=(x-1)]dx + 2xx[(x-1)=(x-1) ³]dx 0 1 ℗ ²[(x - 1)²-(x - 1)²]dx - π/²[(x - 1)²-(x - 1)ª]dx D П
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