Let $\mathbf { r } ( t ) = \cos 2 t \mathbf { i } + 2 t \mathbf { j } + \sin 2 t \mathbf { k }$

question 2

Essay

Let $\mathbf { r } ( t ) = \cos 2 t \mathbf { i } + 2 t \mathbf { j } + \sin 2 t \mathbf { k }$ . Show that the acceleration vector is parallel to the normal vector N(t).

---

Definitions:

Functionalist View

A perspective in sociology and psychology that analyzes society or the mind in terms of the roles or functions its components serve.

Emotions

Complex psychological states that involve an orchestrated pattern of changes in physiological arousal, expressions, and experiences.

Positive Emotions

Emotional states or feelings that are desirable, pleasurable, or fulfilling, such as joy, love, or happiness.

Negative Emotions

Emotional states that are considered to be unpleasant or undesirable, such as sadness, anger, fear, or anxiety.