Write a Polar Equation In $\mathrm { r }$ And $\theta$ Of a Hyperbola with the Focus at the Origin, with \theta

question 27

Multiple Choice

Write a polar equation in $\mathrm { r }$ and $\theta$ of a hyperbola with the focus at the origin, with the eccentricity 7 and directrix $r = - 12 \csc \theta$ .

• A) \(r = \frac { 84 } { 1 - 84 \sin \theta }\)
• B) \(r = \frac { 84 } { 1 - 7 \sin \theta }\)
• C) \(r = \frac { 84 } { 1 + 7 \sin \theta }\)
• D) \(r = \frac { 84 } { 1 - \sin \theta }\)
• E) \(r = \frac { 12 } { 1 + 12 \sin \theta }\)

---

Definitions:

Regulated Monopolies

Market situations in which local, state, or federal government grants exclusive rights in a certain market to a single firm.

Economic Recession

a period of temporary economic decline characterized by a decrease in GDP, income, employment, and trade, typically lasting from six months to a year.

Communism

Economic system in which all property would be shared equally by the people of a community under the direction of a strong central government.

Pure Competition

A market structure characterized by a large number of small firms, a homogeneous product, free entry and exit, and perfect information, leading to firms being price takers.