10. Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. If Rolle's Theorem cannot be applied, explain why not. (a) f(x) = (x -4)(x +2)2, [-2,4] (b) g(x) = x3 -1, [-8,8]11. Determine whether Mean Value Theorem can be applied to f on the closed interval [a, b]. If Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 10 24. f@. If the Mean Value Theorem cannot be applied, explain why not. (a) f(x) = 23 - 3x2 +9x + 5, [0, 1] (b) g(x) = cosx + tana, [0, x]