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Let f be a function for which the first derivative is f ' (x) = 2x...

Let f be a function for which the first derivative is f ' (x) = 2x 2 - 5 / x2 for x > 0, f(1) = 7 and f(5) = 11. Show work for all question.

a). Show that f satisfies the hypotheses of the Mean Value Theorem on [1, 5]

b)Find the value(s) of c on (1, 5) that satisfyies the conclusion of the Mean Value Theorem.

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