Which of the following represents the volume of the solid generated by revolving the region bounded byf(x)=(x-1)³ and g(x)=x-1 about the x-axis?1AT¹ *ª[(x − 1)º - (x − 1)²³]dx - π ſª [(x − 1)² – (x − 1)º]dx= ["'[(x− 1)² = (x− 1) º]dx + x [*][(x− 1)² – (x − 1) º JaxBЛ© 2πсS"'x[(x− 1) − (x− 1) ³]dx + 2x ſ²x[(x− 1)³– (x− 1) ]dxD2n x[(x-1) ³- (x - 1)]dx + 2n *x[(x-1)-(x-1) ³]dx

Let's find volume of two curves rotating about x axis.

hich of the following represents the volume of the solid generated by revolving the region bounded by x)=(x-1)³ and g(x)=x-1 about the x-axis? π * [(x − 1)² – (x − 1)²]d× - ₁ ² [(x − 1)² – (x − 1)*]dx B x ["'[(x − 1)² = (x− 1) º]dx + x ƒ^{[(x− 1)² = (x− 1) %]dx © 2π *^x [(x - 1) - (x-1) ³ ]dx + 2x [*x[(x− 1)³= (x− 1)]dx D x f'x[(x− 1) ³ - (x− 1) ]dx + 2x [*³x[(x− 1) – (x− 1) ³]dx

hich of the following represents the volume of the solid generated by revolving the region bounded by x)=(x-1)³ and g(x)=x-1 about the x-axis? π * [(x − 1)² – (x − 1)²]d× - ₁ ² [(x − 1)² – (x − 1)]dx B x ["'[(x − 1)² = (x− 1) º]dx + x ƒ^{[(x− 1)² = (x− 1) %]dx © 2π ^x [(x - 1) - (x-1) ³ ]dx + 2x [x[(x− 1)³= (x− 1)]dx D x f'x[(x− 1) ³ - (x− 1) ]dx + 2x [³x[(x− 1) – (x− 1) ³]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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