Consider the functions C: R → R and S: R → R defined by C(x) = = Σ n=0 n 2n (-1)"x² (2n)! and S(x) = Σ n=0 n 2n+1 (-1)"x² (2n+1)! Show that there is a least positive number x_ such that C(x) = 0 Assume C(x) > 0 for all x > 0. Show that S is increasing, C is decreasing and concave down and derive a contradiction.

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Q: 3. Determine a and b for Y X1 and Y2aX bX2 such that EX1 EX2}= 0, Var(X) Var(X2) Var(Yi) Var(2) 1,…

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