Find an Equation for the Conic That Satisfies the Given $( \pm 1,6 )$

question 52

Multiple Choice

Find an equation for the conic that satisfies the given conditions. ellipse, foci $( \pm 1,6 )$ , length of major axis 8

• A) \(6 x ^ { 2 } = y\)
• B) \(\frac { x ^ { 2 } } { 16 } + \frac { ( y - 6 ) ^ { 2 } } { 15 } = 1\)
• C) \(\frac { ( x - 6 ) ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 15 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 15 } = 1\)
• E) \(36 x ^ { 2 } = y\)

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Definitions:

Breaks Even

Achieves a situation where there is no profit or loss, synonymous with the concept of the break-even point but phrased differently.

Perfectly Competitive

Describes a market structure where no single buyer or seller has market power, products are homogeneous, information is freely available, and there is free entry and exit of firms.

Market Demand Curve

A graphical representation of the quantity demanded at various prices by all consumers in the market.

Individual Corn Producer's Demand Curve

A graphical representation showing the quantity of corn that an individual producer is willing and able to sell at various prices, typically downward sloping.