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Suppose 9(3) 2 (f(x))2 where f is positive and concave up for all a: E I. (a) f(:v) > on I. (b) g(a:) : 2(1112

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Suppose 9(3) 2 (f(x))2 where f is positive and concave up for all a: E I. (a) f"(:v) > on I. (b) g\"(a:) : 2(1112 + Bf\"(m)), where A 2 and B : (c) g"(:v) > on I. (d) 9(3) is on I. Note: Input CU, CD, x), f'(x), and f"(x) for concave up, concave down, x), f'(:r:), and f"(ac), respectively

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