Answer true or false. The hypotheses of the Mean-Value Theorem are satisfied for f(x) = cos 3x on [0, 4 $\pi$].

Question

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The hypotheses of the Mean-Value Theorem are:
1. The function is continuous on the closed interval [a, b].
2. The function is differentiable on the open interval (a, b).
Both of these conditions are satisfied for f(x) = cos 3x on [0, 4π]. Therefore, the Mean-Value Theorem can be applied.

Answer True or False π\piπ ]

Answer True or False $\pi$ ]