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(1 point) Consider the lamina whose shape and density are given in the picture below. Calculate p f: x f (x) dx, for constants a and b and a function f(x) related to the shape of the lamina. Calculate p fab % f (x)2 dx, for constants a and b and a function f(x) related to the shape of the lamina. Calculate i. the x-coordinate of the centre of mass (centroid) of the lamina. Calculate )7. the y-coordinate of the centre of mass (centroid) of the lamina