Find the Standard Form of the Equation of the Ellipse $( 0 , - 3 ) , ( 0,3 )$

question 218

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Foci: $( 0 , - 3 ) , ( 0,3 )$ ; vertices: $( 0 , - 5 ) , ( 0,5 )$

• A) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 25 } = 1\)
• B) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 16 } = 1\)
• C) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1\)

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Definitions:

Optimal Level

The most efficient, effective, or desirable point or degree for a specific outcome or condition.

Monopolistically Competitive

Pertains to a market structure where many firms sell products that are similar but not identical, allowing for some degree of market power and product differentiation.

Positive Economic Profits

Occur when a firm's total revenues exceed all its costs, including both explicit and implicit costs, indicating superior performance or a competitive advantage.

Short Run

A period during which at least one input, such as plant size, is fixed and cannot be varied.