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:

Logical-Mathematical Intelligence

The capacity to understand logical reasoning and problem solving in mathematics, part of Howard Gardner's theory of multiple intelligences.

Multiple Intelligences Theory

A theory proposed by Howard Gardner, suggesting that intelligence is multidimensional and includes various discrete faculties.

Range Of Reaction

A theory suggesting that an individual’s genetic makeup establishes a range of possible developmental outcomes that can be determined by environmental conditions.

Intellectual Disability

A term for significant limitations in both intellectual functioning and in adaptive behavior, which covers many everyday social and practical skills.