Find the Equation of the Ellipse Satisfying the Given Conditions $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1$

question 36

Multiple Choice

Find the equation of the ellipse satisfying the given conditions.
-(4, 0) , (-4, 0) , (0, 3) , (0, -3) are the endpoints of the major and minor axes.

• A) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } = 1\)
• C) \(\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1\)

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Definitions:

Profit Maximizing

The process of making business decisions that result in the highest possible profit, by adjusting production levels, prices, and other variables.

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers equals the quantity supplied by producers, resulting in market balance.

Profit

The financial gain that results when the revenues generated from business activities exceed the expenses, taxes, and costs incurred.

Competitive Market

A market structure characterized by many buyers and sellers, where all entities have little to no power to influence prices or market conditions.