Find the Standard-Form Equation for a Hyperbola Which Satisfies the Given

question 273

Multiple Choice

Find the standard-form equation for a hyperbola which satisfies the given conditions.
-A hyperbola centered at the origin having focus at $( 9,0 )$ and eccentricity equal to $\frac { 3 } { 2 }$

• A) \(\frac { y ^ { 2 } } { 36 } + \frac { x ^ { 2 } } { 45 } = 1\)
• B) \(\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 45 } = 1\)
• C) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 45 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 45 } = 1\)

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Definitions:

Excess Capacity

A situation where a firm or industry has more production resources available than is necessary to produce the current level of output, often indicating inefficiency.

Minimum ATC

Minimum ATC, or minimum average total cost, is the lowest point on the average total cost curve, representing the most efficient scale of production for a firm.

Entry Barriers

Obstacles that make it difficult for new competitors to enter a market, which may include high capital requirements, brand loyalty, or regulatory policies.

Marginal Costs

The cost of producing one additional unit of a good or service.