Identify the Conic and Select Its Correct Graph $r = \frac { 2 } { 2 - 4 \cos \theta }$

question 374

Multiple Choice

Identify the conic and select its correct graph. $r = \frac { 2 } { 2 - 4 \cos \theta }$

• A) \(e = 2 > 1 \Rightarrow\) Hyperbola
• B) \(e = 2 > 1 \Rightarrow\) Hyperbola
• C) \(e = 2 > 1 \Rightarrow\) Hyperbola
• D) \(e = 2 > 1 \Rightarrow\) Hyperbola
• E) \(e = 2 > 1 \Rightarrow\) Hyperbola

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Definitions:

Increased Demand

Describes a situation where a larger number of consumers are willing and able to purchase a good or service at a given price, often leading to higher prices or a market shortage if supply does not increase correspondingly.

Price Ceiling

A legally established maximum price that can be charged for a good or service, preventing prices from reaching equilibrium levels.

Surplus

A situation where the quantity of a product supplied exceeds the quantity demanded, often resulting in a decrease in prices.

Shortage

A shortage occurs when the demand for a product exceeds the supply of that product at a specific price.