Set up but do not evaluate an integral that represents the volume of the solid of revolutionobtained by rotating the region bounded by the curves y = 2x + 1 and y = (x − 1)² about they-axis.4ㅠ•√* [(2x + 1)² − (a − 1)¹] da4S[(x − 1)² − (2x + 1)] dx046²[(2x + 1) − (x − 1)] dx04ㅠ[*ª [(x − 1)¹ − (2x + 1)²] dæ42π02π2πX.X.X.[(2x + 1) − (x − 1)²] dî

Given: It is given that the curves are y=2x+1 and y=(x-1)2. To find: The main aim is to set up the…

Set up but do not evaluate an integral that represents the volume of the solid of revolution 2x + 1 and y = (x - 1)² about the = obtained by rotating the region bounded by the curves y y-axis. 4 π * [(2x + 1)² = (x − 1)¹] dæ ㅠ 4 2π - X. · [(x − 1)² − (2x + 1)] dx - 0 4 2π √*x · [(2x + 1) — (x − 1)] da x. 0 4 * [(x − 1)¹ − (2x + 1)²] dæ - 4 = √² ₂₁ X. 0 ㅠ 2π [(2x + 1) − (x − 1)²] dx

Set up but do not evaluate an integral that represents the volume of the solid of revolution 2x + 1 and y = (x - 1)² about the = obtained by rotating the region bounded by the curves y y-axis. 4 π * [(2x + 1)² = (x − 1)¹] dæ ㅠ 4 2π - X. · [(x − 1)² − (2x + 1)] dx - 0 4 2π √x · [(2x + 1) — (x − 1)] da x. 0 4 [(x − 1)¹ − (2x + 1)²] dæ - 4 = √² ₂₁ X. 0 ㅠ 2π [(2x + 1) − (x − 1)²] 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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