Eliminate the Parameter to Find a Cartesian Equation of the Curve

question 111

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:

Chance

The occurrence of events in the absence of any cause or pattern, often described in terms of probability.

Likelihood

In statistics, the probability of a set of parameters given a specific outcome; used in maximum likelihood estimation.

Subjective Probability

An individual's personal and subjective assessment of the likelihood of an event occurring, based on their own knowledge and judgment rather than on statistical analysis.

Personal Judgment

Personal Judgment involves making decisions or forming opinions based on individual assessment and intuition, rather than solely on data.