The figure shows a lamina that is shaded according to the given density function: darker shading indicates higher density. p(x, y) = x4 y 1 (x, y) = Estimate the location of the center of mass of the lamina, then calculate its exact location. (C 1 x X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 25E
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The figure shows a lamina that is shaded according to the given density function: darker shading indicates higher density.
p(x, y) = x4
y
1
(x, y) =
=
0
Estimate the location of the center of mass of the lamina, then calculate its exact location.
)
1 x
X
Transcribed Image Text:The figure shows a lamina that is shaded according to the given density function: darker shading indicates higher density. p(x, y) = x4 y 1 (x, y) = = 0 Estimate the location of the center of mass of the lamina, then calculate its exact location. ) 1 x X
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