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A lamina occupies the first quadrant of the unit disk (x2+y2≤1x2+y2≤1, x,y≥1x,y≥1). It's density function is...

A lamina occupies the first quadrant of the unit disk (x2+y2≤1x2+y2≤1, x,y≥1x,y≥1). It's density function is ρ(x,y)=xρ(x,y)=x. Find the center of mass of the lamina.

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