Question 1: (6 points) Verify that Rolle's Theorem can be applied to the function f (x) = x - 8x- + 19x - 12 on the interval [1, 4). Then find all values of c in the interval such that f (c) = 0. Enter the exact answers in increasing order. To enter va, type sqrt(a). C = Show your work and explain, in your own words, how you arrived at your answers. Question 2: (4 points) 3 Verify that the Mean Value Theorem can be applied to the function f (x) = x 4 on the interval [0, 16]. Then find the value of c in the interval that satisfies the conclusion of the Mean Value Theorem. Enter the exact answer. C=