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The boundary of a lamina consists of the semicircles = 1 2 and = 4 2 along with the portion for the x-axis that joins

The boundary of a lamina consists of the semicircles = 1 ² and = 4 ² along with the portion for the x-axis that joins them. Find the center of mass of the lamina if the density of the lamina is (, ) = 4 ²²

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