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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Nitrogen Gas

A diatomic molecular gas (N2) that constitutes 78% of the Earth's atmosphere, colorless, odorless, and mostly inert.

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A colorless gas with the formula NO; it is an important signaling molecule in the body and contributes to various biological processes.

Reaction Rate

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The total area that the surface of an object occupies, impacting its chemical reactivity and physical interactions.