Find a Polar Equation for the Parametric Equations $$x = f _ { 1 } ( \theta ) , y = f _ { 2 } ( \theta )$$

question 198

Multiple Choice

Find a polar equation for the parametric equations.
$$x = f _ { 1 } ( \theta ) , y = f _ { 2 } ( \theta )$$

• A) \(y = x \tan \theta\)
• B) \(r = \sqrt { \left[ f _ { 1 } ( \theta ) \right] ^ { 2 } + \left[ f _ { 2 } ( \theta ) \right] ^ { 2 } }\)
• C) \(x ^ { 2 } + y ^ { 2 } = \left[ f _ { 1 } ( \theta ) \right] ^ { 2 } + \left[ f _ { 2 } ( \theta ) \right] ^ { 2 }\)
• D) \(r = \left[ f _ { 1 } ( \theta ) \right] ^ { 2 } + \left[ f _ { 2 } ( \theta ) \right] ^ { 2 }\)

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Definitions:

Female Birds

The sex in birds that typically produces larger, non-motile gametes (eggs), and often, but not always, has different physical characteristics from males.

Male Trait Evolution

The changes over time in male-specific traits, often driven by sexual selection or other ecological and evolutionary pressures.

Female Preference Evolution

The evolutionary process by which female mating choices influence the development of male traits over generations.