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Find the Mass and the Center of Mass of the Lamina

Question 154

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Find the mass and the center of mass of the lamina occupying the region RR , where RR is the triangular region with vertices (0,0),(2,5)( 0,0 ) , ( 2,5 ) , and (4,0)( 4,0 ) , and having the mass density ρ(x,y)=x\rho ( x , y ) = x .

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