Find the Standard Form of the Equation of the Hyperbola $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$

question 72

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,±4) focies: (0,±5)

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

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Definitions:

Long-Run Equilibrium

A state in which all factors of production and outputs in an economy have fully adjusted and all changes are reflected in prices.

Marginal Revenue Curve

Illustrates how marginal revenue changes as the quantity of output sold changes.

Perfectly Competitive

A market structure characterized by a large number of small firms, a homogeneous product, perfect information, and no barriers to entry or exit.

Monopolistic Firm

A company that possesses significant market power, allowing it to set higher prices compared to a perfectly competitive market.