The Letters X and Y Represent Rectangular Coordinates $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

question 244

Multiple Choice

The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ) .
- $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

• A) \(4 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta = 4 \mathrm { r }\)
• B) \(\cos ^ { 2 } \theta + 4 \sin ^ { 2 } \theta = 4 \mathrm { r }\)
• C) \(r ^ { 2 } \left( \cos ^ { 2 } \theta + 4 \sin ^ { 2 } \theta \right) = 4\)
• D) \(\mathrm { r } ^ { 2 } \left( 4 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta \right) = 4\)

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Definitions:

Canoes

Lightweight narrow boats, typically pointed at both ends and open on top, propelled by one or more seated or kneeling paddlers facing the direction of travel using a single-bladed paddle.

Venn Diagram

A diagrammatic representation used to show all possible logical relations between a finite collection of different sets.

Venn Diagram

A diagram that shows all possible logical relations between a finite collection of different sets by using overlapping circles or other shapes.

Premises

Statements or propositions from which conclusions are logically derived in arguments.