Find the Standard Form of the Equation of the Ellipse $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 49 } = 1$

question 112

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Major axis vertical with length 14; length of minor axis = 6; center (0, 0)

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 49 } = 1\)
• B) \(\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 6 } + \frac { y ^ { 2 } } { 49 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 196 } = 1\)

---

Definitions:

Marginal Revenue

The additional income earned from selling one more unit of a good or service; it's a crucial concept for decision-making in businesses.

Economic Profit

The total revenue of a business minus its explicit and implicit costs, representing the surplus remaining after accounting for all costs, including opportunity costs.

Accounting Profit

The net income of a company after subtracting all costs and expenses from total revenues, as shown in the financial statements.

Competitive Market

A market structure characterized by many buyers and sellers, free entry and exit, and products that are close substitutes, leading to price determination through supply and demand.