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Mean Value Theorem

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Please help with attached problem #12.

Verify that the function satisfies the hypothesis of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the Mean Value Theorem.
12. f(x) x^3 + x -1, [0, 2]

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It verifies that the function satisfies the hypothesis of the Mean Value Theorem on the given interval.

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It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there ...

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