Find the centroid of the thin plate bounded by the graphs of g(x) = x² and f(x) = -x + 30. Use the equations shown below with 8 = 1 and M= area of the region covered by the plate. b b 1 8 = S8Xx[t 8x[f(x) = g(x)] dx y=[²(x)-g² (x)] dx and y = The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) X =
Find the centroid of the thin plate bounded by the graphs of g(x) = x² and f(x) = -x + 30. Use the equations shown below with 8 = 1 and M= area of the region covered by the plate. b b 1 8 = S8Xx[t 8x[f(x) = g(x)] dx y=[²(x)-g² (x)] dx and y = The centroid of the thin plate is (x,y), where x = (Type integers or simplified fractions.) X =
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 + 30. Use the equations shown below with 6 = 1 and M = area of the region covered by the plate.
b
b
1
x = √ √ Söx[f(x) -
8x[f(x) - g(x)] dx
[²(x)-g² (x)] dx
M.
The centroid of the thin plate is (x,y), where x = and y=.
(Type integers or simplified fractions.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16e1c49d-0159-4214-a9cd-b8db8f5f4601%2F6e8979c2-ed1c-461e-9e72-b422f7f1c174%2Ftsla6ef_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 + 30. Use the equations shown below with 6 = 1 and M = area of the region covered by the plate.
b
b
1
x = √ √ Söx[f(x) -
8x[f(x) - g(x)] dx
[²(x)-g² (x)] dx
M.
The centroid of the thin plate is (x,y), where x = and y=.
(Type integers or simplified fractions.)
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