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

question 47

Short Answer

Find $\mathbf { r } ^ { \prime } ( t )$ and $\mathbf { r } ^ { \prime \prime } ( t )$ for $\mathbf { r } ( t ) = 5 t \mathbf { i } + 4 t ^ { 2 } \mathbf { j } + 5 t ^ { 3 } \mathbf { k }$

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Definitions:

Internal Factor

Elements or forces within an organization or individual that can affect performance, mood, or outcomes.

Heredity

The genetic transmission of characteristics from parents to offspring, influencing various traits and predispositions.

Intelligence

The ability to learn, understand, and make judgments or have opinions that are based on reason.

Personality Traits

Enduring characteristics that describe an individual's behavior and attitude.