Find the Eccentricity and Directrix of the Conic $r = \frac { 6 } { 2 + 2 \sin \theta }$

question 26

Essay

Find the eccentricity and directrix of the conic $r = \frac { 6 } { 2 + 2 \sin \theta }$ and graph the conic. Find an equation for the conic rotated clockwise about its vertex through an angle $3 \pi / 2$ , and graph it.

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Definitions:

Drug Enslavement Theory

A concept that suggests individuals become 'enslaved' or dependent on drugs due to the drugs' addictive properties and the social and psychological factors that reinforce usage.

General Deviance Syndrome

A hypothetical construct suggesting that various forms of deviant behavior are interconnected and stem from common risk factors.

Life of Crime

A pattern of behavior characterized by continual involvement in illegal activities.

Negative Effects

Unfavorable or harmful outcomes resulting from an event, action, or condition, impacting individuals or wider communities.