d = -1 The region R is bounded by the x-axis, y-axis, and the line in the graph and has a constant density. To find the centroid of the region you would compute S SR dA = Så fa(®) dydx, få fa(z) x dydx, and rq(x) p(x) p(x) 1(x) Sy dyda where p(x) p(x) q(x) Så falz) dydx 1(x) p(x) = 1/0 = -1 = få fa(z) x dydx Jp(x) Så Sa fal y dydx p(x) 1,0 = = R
d = -1 The region R is bounded by the x-axis, y-axis, and the line in the graph and has a constant density. To find the centroid of the region you would compute S SR dA = Så fa(®) dydx, få fa(z) x dydx, and rq(x) p(x) p(x) 1(x) Sy dyda where p(x) p(x) q(x) Så falz) dydx 1(x) p(x) = 1/0 = -1 = få fa(z) x dydx Jp(x) Så Sa fal y dydx p(x) 1,0 = = R
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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