Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = x + 6. Use the equations shown below with 8 = 1 and M = area of the region covered by the plate. b 1 M Söx [f(x) X= 8x[f(x) - g(x)] dx b [²²(x)-g² (x)] d dx The centroid of the thin plate is (x,y), where x = and y=. (Type integers or simplified fractions.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Find the centroid of the thin plate bounded by the graphs of g(x)=x and f(x) = x + 6. Use the equations shown below with 8 = 1 and
M = area of the region covered by the plate.
==
b
f
a
M
Sx[f(x) - g(x)] dx
b
y=-=-=[r²(x)-g²(x)] dx
The centroid of the thin plate is (x,y), where x =
(Type integers or simplified fractions.)
and y =
Transcribed Image Text:Find the centroid of the thin plate bounded by the graphs of g(x)=x and f(x) = x + 6. Use the equations shown below with 8 = 1 and M = area of the region covered by the plate. == b f a M Sx[f(x) - g(x)] dx b y=-=-=[r²(x)-g²(x)] dx The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) and y =
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