Find a Polar Equation of the Conic with Its Focus $e = \frac { 1 } { 2 }$

question 16

Multiple Choice

Find a polar equation of the conic with its focus at the pole. ​
Conics
Eccentrity
Directrix
Ellipse $e = \frac { 1 } { 2 }$ $y = - 3$ ​​

• A) \(r = \frac { 4 } { 2 - \sin \theta }\)
• B) \(r = \frac { 3 } { 2 - \sin \theta }\)
• C) \(r = \frac { 3 } { 2 - 4 \sin \theta }\)
• D) \(r = \frac { - 3 } { 2 - 4 \sin \theta }\)
• E) \(r = \frac { 3 } { 2 + \sin \theta }\)

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Definitions:

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Principles or habits with respect to right or wrong conduct, often influenced by cultural, religious, or personal beliefs.

Rule Deontology

An ethical theory that stresses the importance of following universal rules or duties in ethical decision-making, regardless of the consequences.

Utilitarianism

A moral philosophy that evaluates the morality of actions based on their outcomes, emphasizing the greatest good for the greatest number of people.

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