The Eccentricity Is Given of a Conic Section with One $$e = \frac { 1 } { 4 } , x = 2$$

question 345

Multiple Choice

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section.
- $$e = \frac { 1 } { 4 } , x = 2$$

• A) \(r = \frac { 2 } { 4 + \cos \theta }\)
• B) \(r = \frac { 2 } { 4 + \sin \theta }\)
• C) \(r = \frac { 2 } { 1 + 4 \cos \theta }\)
• D) \(r = \frac { 2 } { 4 - \cos \theta }\)

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Definitions:

Long-run Equilibrium

A state in which all factors of production and outputs are fully adjusted to economic conditions, leading to stable prices and optimal resource allocation.

Market Price

The current price at which an asset or service can be bought or sold in a particular market.

Economic Profit

The difference between total revenue and total costs, including both explicit and implicit costs, representing the surplus revenue after all costs have been accounted for.

Zero Economic Profit

Occurs when a firm's total revenue is equal to its total explicit and implicit costs, indicating no abnormal profit.