Consider the function f(x) = x² -4x + 7 on the interval (0,4|. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. f(x) is on [0, 4]; f(x) is on (0, 4); f(0) = f(4) = Then by Rolle's theorem, there exists a c such that f'(c) = 0. Find the value c.

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