Which of the following represents the volume of the solid generated by revolving the regionbounded by f(x) = (x - 1)³ and g(x)=x-1 about the x-axis?A - TTUπ *ª[(x − 1) - (x − 1)²]dx - √ ²[(x - 1)²-(x - 1)]dx℗ ² - - TπS [(x − 1)² − (x − 1)º]dx + ₁ √ [(x - 1)²-(x - 1)]dxB T© 2x ["'x[(x− 1) - (x− 1) ²]dx + 2x^²x[(x− 1) ³− (x− 1) ]dxC)1© 2x ſ'x[(x− 1)³= (x− 1) ]dx+ 2x * x[(x− 1) = (x− 1)²]dxD-0

To find the volume. Option B is correct.

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? · [(x − 1)² – (x - 1)³²]dx - π ²[(x − 1)²-(x - 1)]dx B π ſª [(x − 1)² − (x − 1)º]dx + π £[ ª[(x − 1)² – (x − 1)º]dx © 2x * x[(x-1) - (x-1)³¹]dx + 2x [*³x[(x− 1)³= (x− 1)]dx (C) x[(x-1)-(x-1) 0 1 ℗ 2x / x[(x-1) ³3- (x-1)]dx + 2x^²x[(x− 1) - (x-1) ³]dx D A

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? · [(x − 1)² – (x - 1)³²]dx - π ²[(x − 1)²-(x - 1)]dx B π ſª [(x − 1)² − (x − 1)º]dx + π £[ ª[(x − 1)² – (x − 1)º]dx © 2x * x[(x-1) - (x-1)³¹]dx + 2x [*³x[(x− 1)³= (x− 1)]dx (C) x[(x-1)-(x-1) 0 1 ℗ 2x / x[(x-1) ³3- (x-1)]dx + 2x^²x[(x− 1) - (x-1) ³]dx D A

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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