Problem #5: (a) Find the value of c that satisfies the conclusion of the Mean Value Theorem for the function f(x) - Inx on the interval [2, 16]. (b) If f(1) 4 and f(x) 9 for 1x9 then, according to the Mean Value Theorem, what is the smallest possible value for f(9)? (c) Let f be the function whose graph is shown below. Problem #5(a): Problem #5(b): 3 2- y 1 0 0 1 2 3 4 5 6 7 8 Estimate the two values of c that satisfy the conclusion of the Mean Value Theorem on the interval [2,7]. Enter your answer symbolically, as in these examples