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- Find two positive numbers x and y with xy=81 such that x+4y is minimized.Find the least squares approximation g(x) = a0 + a1x of f (x) = ex, 0 ≤ x ≤ 1.The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.