Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D = {(x, Y) | 0sx5 4, -1 s y s 1}; p(x, y) = xy² Step 1 The mass can be found by integrating the density function p(x, y) over the region D; therefore, P(x, y) dA = xy2 dy dx. m =

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