6 Find the center of mass of the region bounded by y = 1x², and y = x² - 1 hint: MT .). M₁ = [ x(f(x) – g(x))dx ƒ(x)² – g(x)² 2 = dx

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A: Given,fXY(x,y)=6(x-y) ; 0&lt;y&lt;x&lt;1E(X)=34E(Y)=14

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A: Here we use the definition of boundedness of a linear operator.

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A: I have written the solution in Latex.

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A: Solution:a.Show that COV(X,Y)=E(XY)–E(X)E(Y)

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