Find the centroid of the thin plate bounded by the graphs of the functions g(x) =x(x- 1) and f(x) = x with 8 =1 and M = mass of the region covered by the plate. Use the following equations. öxfx) - g(x)]dx x= The centroid of the thin plate is (x.y), where x=and y= (Type integers or simplified fractions.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Find the centroid of the thin plate bounded by the graphs of the functions g(x) =x(x- 1) and f(x) = x with 8 =1 and M = mass of the region covered by the plate. Use
the following equations.
öxfx) - g(x)]dx
x=
The centroid of the thin plate is (x.y), where x=and y=
(Type integers or simplified fractions.)
Transcribed Image Text:Find the centroid of the thin plate bounded by the graphs of the functions g(x) =x(x- 1) and f(x) = x with 8 =1 and M = mass of the region covered by the plate. Use the following equations. öxfx) - g(x)]dx x= The centroid of the thin plate is (x.y), where x=and y= (Type integers or simplified fractions.)
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