oblem #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. y 3 2- 0 0 1 2 3. 4 5 6 7 8 x Estimate the two values of c that satisfy the conclusion of the Mean Value Theorem on the interval [2,7].