Find the Curvature of the Curve $r ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$

question 67

Multiple Choice

Find the curvature of the curve $r ( t ) = 3 \sin 4 t \mathbf { i } + 3 \cos 4 t \mathbf { j } + 3 t \mathbf { k }$ .

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 3 } { 4 }\)
• C) \(\frac { 51 } { 16 }\)
• D) \(\frac { 16 } { 51 }\)

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Definitions:

Projection

A defense mechanism where an individual attributes their own undesired feelings, thoughts, or impulses onto someone else.

Perception

The process by which individuals organize and interpret their sensory impressions to give meaning to their environment.

Self-Efficacy

An individual’s belief in their own capability to execute behaviors necessary to produce specific performance attainments.

Attribution Theory

A theory focused on how people interpret and understand their own behavior and the behavior of others by attributing causes to actions.