Please handwrite each step neatly.

14. Verify that the function satises the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers 0 that satisfy the conclusion of the Mean Value Theorem. (4pts) f(x)=x3 3x+2 [2,2] 1. 2. Conclusion: 15. Suppose that function f is continuous on the closed interval [0, 4], and is differentiable on the open interval (0, 4). Show that, If f(0) =1 and 2 s f '(x) S 5 for all x in (0, 4), then 9 s f (4) s 21 (opts)