Find $\mathbf { r } ^ { \prime } ( t )$

question 52

Short Answer

Find $\mathbf { r } ^ { \prime } ( t )$ and $\mathbf { r } ^ { \prime \prime } ( t )$ for $\mathbf { r } ( t ) = \langle t \cos 3 t - \sin 3 t , t \sin 4 t + \cos 4 t \rangle$

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Definitions:

Recall-Ready

Refers to the state of being prepared and able to remember information easily when needed.

Intrinsic Notions

Ideas or motivations that are inherently satisfying or valuable, motivating behavior from within rather than by external rewards.

Intrinsically Motivated

This refers to being motivated by internal factors, such as personal satisfaction or interest, rather than external rewards or pressures.

George Kelly

An American psychologist known for his theory of personal constructs, which suggests people actively endeavor to understand the world.