Eliminate the Parameter to Find a Cartesian Equation of the Curve

question 14

Short Answer

Eliminate the parameter to find a Cartesian equation of the curve. $x ( t ) = 2 \cos ^ { 2 } t , \quad y ( t ) = 7 \sin ^ { 2 } t$

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Definitions:

Marginal Cost

The charges incurred for the production of an additional unit of a good or service.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or a service is not achieved due to market inefficiencies.

Consumer Surplus

The difference in planned versus actual spending by consumers on a good or service.

Price Discrimination

A pricing strategy where a firm charges different prices for the same product or service to different consumers, based on their ability to pay, in order to maximize profits.