7. Consider the function f(x) defined on the set by D = {x = R3: x > 0, Xz > 0, Xg >0} = f(x) = (x₁)¹ + (x₂)²² + (x3)²³, where ri> 0 for i 1, 2, 3. = 1, 2, 3. (a) Show that f(x) is strictly convex on D if r; > 1 for i (b) Show that f(x) is strictly concave on D if 0 < r; < 1 for i = 1, 2, 3.

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