(A) Verify that the function f(x) = 2x2 - 8x + 6 defined over the interval 1, 3 satisfies the conditions of Rolle's theorem. Find all values of c guaranteed by Rolle's theorem. (B) Verify that the function f(x) = 2x+15 satisfies the conditions of the Mean Value theorem on the interval 0, 20). Find all values of c guaranteed by this theorem