Write a Polar Equation In $r$ And $\theta$ Of an Ellipse with the Focus at the Origin, with Ellipse

question 108

Short Answer

Write a polar equation in $r$ and $\theta$ of an ellipse with the focus at the origin, with the eccentricity $0.8$ and vertex at $\left( 1 , \frac { \pi } { 2 } \right)$ .

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Definitions:

Antisocial Personality Disorder

A mental health disorder characterized by a long-term pattern of disregarding or violating the rights of others, often manifesting through deceitful or aggressive behaviors.

Dissociative Disorder

A mental health condition characterized by a disconnection and lack of continuity between thoughts, memories, surroundings, actions, and identity.

Fugue State

A rare psychological state involving loss of personal identity and travel or wandering, often with the establishment of a new identity.

Emotionally Volatile

Refers to individuals who experience intense emotions that can change rapidly and unpredictably, often affecting their behaviors and relationships.