The Function $f ( t ) = \sin ^ { 2 } 2 t$

question 64

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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