Please follow instructions in pic to generate answers for questions #13 and 15.

Please show all work.

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13. Let at) : 1 932/3 . Show that f(1) : f(1) but there is no number 6 in (1, 1) such that f'(c) : 0 . Why does this not contradict Rolle's Theorem? SHOW ANSWER 14. Let x) : tan :1: . Show that f(0) = for) but there is no number c in (0, 71') such that f'(c) : 0 . Why does this not contradict Rolle's Theorem? 15, 16, 17, and 18 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the Mean Value Theorem. 15. gs) : 29:2 33:: + 1, [0, 2]