Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 56. Use the equations shown below with 8 = 1 and M = area of the region covered by the plate. = 1 SSx M a Sx[f(x) - g(x)] dx b 1 (8 y=[²(x) - g² (x)] dx a The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) and y =
Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 56. Use the equations shown below with 8 = 1 and M = area of the region covered by the plate. = 1 SSx M a Sx[f(x) - g(x)] dx b 1 (8 y=[²(x) - g² (x)] dx a The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) and y =
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)=x² and f(x) = -x + 56. Use the equations shown
below with 8 = 1 and M = area of the region covered by the plate.
b
x = -1/1S5x[f(x) -
Sx[f(x) - g(x)] dx
M
a
b
y = /[²(x) - g² (x)] dx
The centroid of the thin plate is (x,y), where x =
(Type integers or simplified fractions.)
1
a
and y =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe88f879f-d3c1-48cc-a15b-266450e6e8e7%2F5d8417cf-3024-49fa-9717-17b356a4d2d9%2Fy2rv7a4_processed.png&w=3840&q=75)
Transcribed Image Text:Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 56. Use the equations shown
below with 8 = 1 and M = area of the region covered by the plate.
b
x = -1/1S5x[f(x) -
Sx[f(x) - g(x)] dx
M
a
b
y = /[²(x) - g² (x)] dx
The centroid of the thin plate is (x,y), where x =
(Type integers or simplified fractions.)
1
a
and y =
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