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?Ⓒ * fπ[(x−1)²-(x− 1) 6]dx + x[(x−1)² – (x− 1) º]dxB2x [*x[(x− 1) ³- (x-1)]dx + 2x^²x[(x-1) - (x-1)³]dx02ⒸTS[(x-1)-(x - 1)²]dx - π [(x - 1)²-(x - 1)]dxD2x / x[(x− 1) - (x-1) ³]dx + 2x [*x[(x-1)³-(x-1)]dx

To evaluate the integral. Option A 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? Az√ [(x-1)²-(x-1)]dx + x^²[(x− 1)² = (x- 2-(x-1) 6]dx ℗ 2xSx[(x-1)³ - (x-1)]dx + 2x^x[(x − 1) − (x− 1) ³]dx B) π ſª ſª © TS ² L [(x-1)-(x-1)²]dx-n [(x-1)²-(x - 1)º]dx 2x [*^x [(x − 1) - (x− 1) ³]dx + 2x [*³x[(x-1)³ - (x-1)]dx

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? Az√ [(x-1)²-(x-1)]dx + x^²[(x− 1)² = (x- 2-(x-1) 6]dx ℗ 2xSx[(x-1)³ - (x-1)]dx + 2x^x[(x − 1) − (x− 1) ³]dx B) π ſª ſª © TS ² L [(x-1)-(x-1)²]dx-n [(x-1)²-(x - 1)º]dx 2x [^x [(x − 1) - (x− 1) ³]dx + 2x [³x[(x-1)³ - (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...

See similar textbooks

Similar questions

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
1. Find the volume V of the solid generated by revolving the region bounded by the graphs of f(x) = x^2 and g(x) = 12 − x to the right of x = 1 about the y-axis.
2. Find the volume V of the solid of revolution generated by revolving the region boundedby the graph of y = 2x − 2x^2 and the x-axis about the line x = 2
Find constant K, K positive, so that the volume of the solid of revolution determined by rotating the area bounded by f(x) = x2 and g(x) = - x(x - K) is equal to 200 Pi.
1)Sketch the solid obtained by rotating the region bound byy=2√x and y=x, about the line x =−2. 2)Write the expression for the area of a representative washer 3)Set up and solve the definite integral used to calculate the volume of the solid in (1)