Question: 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

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)

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