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A thin plate covers the triangular region of the xy-plane with vertices (0,0), (1,1), and (−1,1)....

A thin plate covers the triangular region of the xy-plane with vertices (0,0), (1,1), and (−1,1). (Coordinates measured in cm.)

(a) Find the mass of the plate if its density at (x,y) is sin(y^2) kg/cm^2 .

(b) Find the mass of the plate if its density at (x,y) is sin(x^2) kg/cm^2 .

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