Question: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied,

Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that

f'(c) = f(b)-f(a) b-a

If the Mean Value Theorem cannot be applied, explain why not.

f(x) = x³ − 3x² + 9x + 5, [0, 1]

f'(c) = f(b)-f(a) b-a

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