3. Let R be the region bounded by the curves C₁ : y − 3 = −2(x − 1)², C₂ : x + y = 4, and C3 : y = 1. y (0,1) (1,3) (3,1) X Set up (but do not evaluate) a definite integral or sum of definite integrals that is equal to the following. a. Area of R using vertical rectangles b. Length of the boundary of R along C₁ c. Volume of the solid generated when R is revolved about the line x = 4 using washers.

3. Let R be the region bounded by the curves C₁ : y − 3 = −2(x − 1)², C₂ : x + y = 4, and C3 : y = 1. y (0,1) (1,3) (3,1) X Set up (but do not evaluate) a definite integral or sum of definite integrals that is equal to the following. a. Area of R using vertical rectangles b. Length of the boundary of R along C₁ c. Volume of the solid generated when R is revolved about the line x = 4 using washers.

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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