Replace the Polar Equation with an Equivalent Cartesian Equation $$\mathrm { r } ^ { 2 } \sin 2 \theta = 32$$

question 16

Multiple Choice

Replace the polar equation with an equivalent Cartesian equation.
- $$\mathrm { r } ^ { 2 } \sin 2 \theta = 32$$

• A) \(y = \frac { 32 } { x }\)
• B) \(y = 32 x ^ { 2 }\)
• C) \(y = 16 x\)
• D) \(y = \frac { 16 } { x }\)

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Definitions:

Quantifier

A logical symbol that specifies the quantity of specimens in the domain of discourse that satisfy an open formula.

Categorical Proposition

A proposition that asserts or denies something about every member of a category.

Quality

An attribute, characteristic, or property that determines the nature of something, often distinguishing it from others.

Quantifier

Symbols or words in formal logic that indicate the scope of a term, such as "all," "some," or "none," specifying quantity or amount in logical expressions.