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  3. the boundary of a lamina consists of the semicircl

The boundary of a lamina consists of the semicircles y = sqrt(1 − x2) and y = sqrt(9 −...

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Question

Basic Math

The boundary of a lamina consists of the semicircles

y =

sqrt(1 − x2)

and y =

sqrt(9 − x2)

together with the portions of the x-axis that jointhem. Find the center of mass of the lamina if the density at anypoint is inversely proportional to its distance from theorigin.

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