Find a Polar Equation of the Conic with Its Focus $\begin{array} { l l l } \text { Conics } & \text { Eccentrity } & \text { Directrix } \\\text { Parabola } & e = 1 & x = - 4\end{array}$

question 34

Multiple Choice

Find a polar equation of the conic with its focus at the pole.
$\begin{array} { l l l } \text { Conics } & \text { Eccentrity } & \text { Directrix } \\\text { Parabola } & e = 1 & x = - 4\end{array}$

• A) \(r = \frac { 4 } { 1 - \sin \theta }\)
• B) \(r = \frac { 4 } { 1 - \cos \theta }\)
• C) \(r = \frac { - 4 } { 1 - \cos \theta }\)
• D) \(r = \frac { 4 } { 1 + \sin \theta }\)
• E) \(r = \frac { 4 } { 1 + \cos \theta }\)

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Definitions:

Returns To Scale

An economic concept describing how output changes in response to a proportional change in all inputs; indicating constant, increasing, or decreasing returns to scale.

Production Function

A mathematical equation that describes the maximum amount of output that can be obtained from a given set of inputs.

Output

The amount of goods or services produced by a business, industry, or economy in a given period.

Production Isoquants

Curves that represent different combinations of inputs that produce the same level of output, illustrating the trade-offs in production processes.