The goal of this problem is to show that the function f(:c) : 4:33 5:: satisfies both of the conditions (the hypotheses) and the conclusion of the Mean Value Theorem for :3 in the interval [73, 3}. Verification of Hypotheses: Fill in the blanks to show that the hypotheses of the Mean Value Theorem are satisfied: x) is I on [3,3] and is Z on (3,3). Note: The answer in each box should be one word. Verification of the Conclusion: It the hypotheses of the Mean Value Theorem are satisfied: then there is at least one c in the interval (3, 3) for which re) ft3) . Verify that the conclusion of the Mean Value Theorem holds by computing f(3) f(3) = z 3 {3) Now find c in {3, 3) so that f'(c) equals the answer you just found 01:02 I Z Note: For this problem there are two correct values of c, we call them c1, c2, Enter them separated by a comma. Note: On an exam you may be asked to state the Mean Value Theorem (i.e., it may not be given to you), and to verify that a given function satisfies the assumptions of the Mean Value Theorem