The boundary of a lamina consists of the semicircles y = √√1-x² and y= 9-x2 together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is proportional to its distance from the origin. (x, y) = Need Help? Read It Watch It

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
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The boundary of a lamina consists of the semicircles y = √√1-x² and y=√√9-x2 together with the portions of the x-axis that join them. Find the
center of mass of the lamina if the density at any point is proportional to its distance from the origin.
(x, y) =
(
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Transcribed Image Text:The boundary of a lamina consists of the semicircles y = √√1-x² and y=√√9-x2 together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is proportional to its distance from the origin. (x, y) = ( Need Help? Read It Watch It
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