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

question 321

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = \sin t , y = 3 \cos t$$

• A) \(x ^ { 2 } + 9 y ^ { 2 } = 1\)
• B) \(9 x ^ { 2 } + y ^ { 2 } = 9\)
• C) \(x ^ { 2 } + 9 y ^ { 2 } = 9\)
• D) \(9 x ^ { 2 } + y ^ { 2 } = 1\)

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Definitions:

Gene Flow

The transfer of genetic variation from one population to another, which can lead to changes in the genetic composition of the receiving population.

Distinct Species

A group of organisms with common characteristics that can interbreed among themselves but not with members of other species.

Homo Sapiens

The species name for modern humans, characterized by a high degree of intelligence, complex language capabilities, and the ability to create and manipulate technology.

Homogenous Species

A term inaccurately suggesting a species is genetically or phenotypically uniform; in reality, most species exhibit significant genetic and phenotypic diversity.