a. Determine whether the Mean Value Theorem applies to the function f(x) = e* on the given interval [0, In 7]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. The Mean Value Theorem applies because the function is continuous on (0, In 7) and differentiable on [0, In 7]. O B. The Mean Value Theorem applies because the function is continuous on [0, In 7] and differentiable on (0, In 7). O C. The Mean Value Theorem does not apply because the function is not differentiable on (0, In 7). O D. The Mean Value Theorem does not apply because the function is not continuous on [0, In 7]. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are x = (Type an exact answer. Use a comma to separate answers as needed.) O B. The Mean Value Theorem does not apply in this case