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Verify that the given function f satisfies the hypotheses

Verify that the given function f satisfies the hypotheses of the MVT on the given interval [a, b]. Then find all numbers c between a and b for which f(b) - f(a) b - a = f '(c).

(Enter your answers as a comma-separated list. If the theorem does not hold, enter DNE.) f(x) = 2x³ - 3x² on [0, 3]

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Mathematics: Verify that the given function f satisfies the hypotheses

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