Test the Equation for Symmetry with Respect to the Given $r = 3 + 3 \cos \theta ;$

question 172

Multiple Choice

Test the equation for symmetry with respect to the given axis, line, or pole.
- $r = 3 + 3 \cos \theta ;$ the line $\theta = \frac { \pi } { 2 }$

• A) Symmetric with respect to the line \(\theta = \frac { \pi } { 2 }\)
• B) May or may not be symmetric with respect to the line \(\theta = \frac { \pi } { 2 }\)

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Definitions:

Internal Locus

The belief that one's actions are primarily controlled by personal decisions and efforts rather than external factors.

Type A Personality

A temperament characterized by excessive ambition, aggression, competitiveness, drive, impatience, need for control, focus on quantity over quality and unrealistic sense of urgency.

Uncontrollable Aversive Events

Situations or events that are unpleasant or harmful and cannot be controlled or avoided by the individual, often leading to feelings of helplessness.

Learned Helplessness

A condition in which a person suffers from a sense of powerlessness, arising from a traumatic event or persistent failure to succeed, which is believed to contribute to negative attitudes and behaviors.