Question: A right triangle in the xy-plane, whose vertices lie at(-a,0),(a,0), and (0,a), has a density given by(x,y)=C(xa+y2a2)where Cis a constant.(a)If the mass of the right

A right triangle in the xy-plane, whose vertices lie at(-a,0),(a,0), and (0,a), has a density given by(x,y)=C(xa+y2a2)where Cis a constant.(a)If the mass of the right triangle isM, determine the value ofC.(b) Find the location of the center of mass of the right triangle.

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