Let R be the region enelosed by the curves y = 4 - x , x+ y=2, and the x-axis, as shown below. y (-1,3) (-2,0) (2,0) 1. SET UP a (sum of) definite integral(s) that is equal to the area of R using vertical rectangles. 2. SET UP a (sum of) definite integral(s) that is equal to the arc length of the portion of the curve y = 4– x² which serves as a boundary of region R. 3. SET UP a (sum of) definite integral(s) that is equal to the volume of the solid of revolution generated by rotating R about the line x = 3 using the method of washers.

Let R be the region enelosed by the curves y = 4 - x , x+ y=2, and the x-axis, as shown below. y (-1,3) (-2,0) (2,0) 1. SET UP a (sum of) definite integral(s) that is equal to the area of R using vertical rectangles. 2. SET UP a (sum of) definite integral(s) that is equal to the arc length of the portion of the curve y = 4– x² which serves as a boundary of region R. 3. SET UP a (sum of) definite integral(s) that is equal to the volume of the solid of revolution generated by rotating R about the line x = 3 using the method of 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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