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Section 4.2 The Mean Value Theorem 1. [6 pts]. Verify that the function f satises the hypotheses of the Mean Value Theorem on the given

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Section 4.2 The Mean Value Theorem 1. [6 pts]. Verify that the function f satises the hypotheses of the Mean Value Theorem on the given interval. Then nd all number(s) c that satisfy the conclusion of the Mean Value Theorem. a) f(x)= x33x+2, [2.2] b) f(x)= 2"\". [0. 2] 3x+2 2. [4 pts] Let f (x) = tan x. Show that f (0) = f (I!) but there is no number 6 E (0, it) such that f '(c) = 0 . Why does this not contradict Rolle's Theorem

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