Homework 06: Problem 17 (1 point) Suppose 9(9)) = (f(ac))2 where f is positive and concave up for all m E I. (a) f"(m) > on I. (b) g"(m) = 2(A2 + Bf"(m)), where A = and B = (c) 9%) > on I. (d) 9(1') is on I. Note: Input CU, CD, x), f'(x), and f"(x) for concave up, concave down, f(m) f'(:c), and f\"(m), respectively. Homework 06: Problem 15 :1 point) 1 Consider the function a: = . f( ) 2302 + 4 (a) f is concave up for :c e (b) f is concave down for cc E (2"(1/2)/3"(1/2),2"(1/2)/3"(1/2)) (c) The inflection points of f occur at :c = Note: Input U, infinity, and -infinity for union, 00, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none. Homework 06: Problem 14 (1 point) 82:2 14- Consider the function f(a:) = (a) f is increasing for a: E I (b) f is decreasing for as E (c) The local maxima of f occur at a: = 0 (d) The local minima of f occur at a: = 8 Note: Input U, infinity, and -infinity for union, co, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none