Answer true or false. The hypotheses of the Mean-Value Theorem are satisfied for f(x) = cos 2x on [0, 4 $\pi$].

Name: Answer true or false. The hypotheses of the Mean-Value Theorem are satisfied for f(x) = cos 2x on [0, 4 $\pi$].
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The Mean-Value Theorem requires that the function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b). In this case, f(x) = cos 2x is continuous and differentiable on [0, 4π], so the hypotheses of the Mean-Value Theorem are satisfied.

Answer True or False π\piπ ]

Answer True or False $\pi$ ]