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Find the two x-intercepts of f(x)=?x and show that f'(x) = 0 at some point between the two x-intercepts. Determine whether Rolle's Theorem can be

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Find the two x-intercepts of f(x)=?x and show that f'(x) = 0 at some point between the two x-intercepts. Determine whether Rolle's Theorem can be applied to f on the closed interval [0, 8]. If Rolle's Theorem can be applied, find all values of c in the open interval (0, 8) such that f'(c) = 0.

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