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.)
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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c2dbaa0-1109-44d2-898a-fe3a1081a7cc%2F91023523-a27f-4e23-b3e1-e52690b4d5c0%2Fu6req3_processed.png&w=3840&q=75)
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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