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

question 88

Short Answer

Find $\mathbf { r } ^ { \prime } ( t )$ for the function given. $\mathbf { r } ( t ) = 3 \mathbf { i } + \sin t \mathbf { j } + \cos t \mathbf { k }$

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Definitions:

Prima Facie Duties

Duties that are considered to be correct or obligatory at first glance, unless overridden by a more compelling moral obligation.

Kantian Ethics

A moral philosophy based on the work of Immanuel Kant, emphasizing duty, rationality, and the categorical imperative.

Inner Moral Worth

The inherent value that an individual possesses, which is deserving of moral respect and consideration.

Duty

A moral or legal obligation; a responsibility one has towards others or society as a whole.