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Find the Mass and the Center of Mass of the Lamina

Question 46

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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),(3,8)( 0,0 ) , ( 3,8 ) , and (6,0)( 6,0 ) , and having the mass density ρ(x,y)=x\rho ( x , y ) = x .

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