Please answer the a, b, and c questions.

Problem #3: (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, 8]. (b) If f(1) =6 and f'(x) 2 1 for 1 x 8 then, according to the Mean Value Theorem, what is the smallest possible value for f(8) ? (c) Let f be the function whose graph is shown below. 7 8 9 10 11 Estimate the two values of c that satisfy the conclusion of the Mean Value Theorem on the interval [4, 10]. Enter your answer Problem #3(a): symbolically, as in these examples Problem #3(b): Problem #3(c): separate your answers with a comma