Select the Polar Equation of the Conic for E = $r = \frac { 2 e } { 1 + e \sin \theta }$

question 413

Multiple Choice

Select the polar equation of the conic for e = 1.0 and identify the conic for the following equation. $r = \frac { 2 e } { 1 + e \sin \theta }$

• A) \(r = \frac { 1 } { 1 + \sin \theta } \Rightarrow \text { parabola }\)
• B) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { parabola }\)
• C) \(r = \frac { 2 } { 1 - 2 \sin \theta } \Rightarrow \text { ellipse }\)
• D) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { ellipse }\)
• E) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { parabola }\).

---

Definitions:

Social Class

Social class refers to a division of society based on socio-economic status, often determining individuals' opportunities, behaviors, and life chances.

Extended Family

Consists of not only the nuclear family (parents and their children) but also other relatives such as grandparents, aunts, uncles, and cousins, often sharing a household or living in close proximity.

Sociologists

Scholars who study social behavior, including its origins, development, organization, and institutions.

Elder Abuse

A form of mistreatment that leads to harm or loss for an elderly person, often involving physical, emotional, or financial abuse.