Find a Rectangular Equation for the Plane Curve Defined by the Parametric

question 76

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 5 \cos t , y = - 2 \sin t ; 0 \leq t \leq 2 \pi$$

• A) \(4 x ^ { 2 } + 25 y ^ { 2 } = 100 ; - 5 \leq x \leq 5\)
• B) \(4 x ^ { 2 } - 25 y ^ { 2 } = 100 ; x \geq 5\)
• C) \(4 x ^ { 2 } + 25 y ^ { 2 } = 1 ; - \frac { 1 } { 5 } \leq x \leq \frac { 1 } { 5 }\)
• D) \(4 x ^ { 2 } - 25 y ^ { 2 } = 1 ; x \geq \frac { 1 } { 2 }\)

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Definitions:

Average Number

The value found by adding all the numbers in a set together and then dividing by the count of those numbers, often used in statistical analysis.

At-bats

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Probability

The measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

30 Simulation Runs

Refers to executing a simulation model 30 times to assess variability or estimate the reliability of the simulation results.