The Function $f(t)=\sin ^{2} 2 t$ Satisfies the Hypotheses of Rolle's Theorem on the Interval

question 149

Multiple Choice

The function $f(t) =\sin ^{2} 2 t$ satisfies the hypotheses of Rolle's Theorem on the interval $\left[0, \frac{\pi}{2}\right]$ . Find all values of c that satisfy the conclusion of the theorem.

• A) 0
• B) \(\frac{\pi}{4}\)
• C) \(0, \pm \frac{\pi}{4}\)
• D) \(0, \frac{\pi}{4}\)

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