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The boundary of a lamina consists of the semicircles y = 1 x 2 and y = 4 x 2 together with the portions of

The boundary of a lamina consists of the semicircles y =

1 x2

and y =

4 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 inversely proportional to the square of its distance from the origin. Enter the x- and y-coordinates of the center of mass (in that order) into the answer box below, separated with a comma.

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