Find the Curvature of the Curve R(t) $\kappa = \frac { \sqrt { 2 } } { 2 }$

question 107

Multiple Choice

Find the curvature of the curve r(t) .
-r(t) = (8 + cos 9t - sin 9t) i + (5 + sin 9t + cos 9t) j + 7k

• A) \(\kappa = \frac { \sqrt { 2 } } { 2 }\)
• B) \(\kappa = \sqrt { 2 }\)
• C) \(\kappa = \frac { 9 } { 2 }\)
• D) \(\kappa = \frac { 9 } { 2 } \sqrt { 2 }\)

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Definitions:

Working Through

A psychoanalytic process involving the repeated examination and exploration of problems, emotions, and past experiences to achieve insight and resolve internal conflicts.

Interpretation

In therapy, the act of a therapist explaining or providing insight into aspects of a client's thoughts, behaviors, or dreams to uncover underlying meanings.

Displacement

In psychology, a defense mechanism where an individual shifts emotional reactions from a real source of distress to a safer or more acceptable substitute.

Intense Reaction

A highly amplified emotional or physical response to a specific trigger or situation.