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

question 37

Multiple Choice

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

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

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Definitions:

Total Surplus

The sum of consumer surplus and producer surplus in a market; it represents the total net benefit to society from the production and consumption of a good.

Equilibrium

Describes a state in a market where the quantity of a product supplied is equal to the quantity of the product demanded, leading to a stable price.

Gains from Trade

The benefits that parties obtain by engaging in voluntary trade, allowing them to acquire goods and services they desire at less cost compared to self-production.

Total Surplus

The combined measure of consumer surplus and producer surplus in a market, representing the total benefits to society from the production and consumption of goods and services.