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Verify that Rolle's Theorem can be applied to the function f (x) = x - 8x- + 17x - 10 on the interval [1, 5].

Verify that Rolle's Theorem can be applied to the function f (x) = x - 8x- + 17x - 10 on the interval [1, 5]. Then find all values of c in the interval such that f (c) = 0. Enter the exact answers in increasing order

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