Find the Vertices, Foci, and Eccentricity of the Ellipse Given $$x ^ { 2 } + 9 y ^ { 2 } = 1$$

question 24

Essay

Find the vertices, foci, and eccentricity of the ellipse given by $$x ^ { 2 } + 9 y ^ { 2 } = 1$$ . Determine the lengths of the major and minor axes, and sketch the graph.

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Definitions:

Market Price

The current price at which an asset or service can be bought or sold in a given market, determined by supply and demand dynamics.

Firm

A business or company that sells goods or services in an attempt to earn a profit.

Competitive Price-Taker Firm

A business that accepts market prices as given because it has no power to influence them.

Economic Profit

The difference between the total revenue received from the sale of an output and the total opportunity costs of the inputs used.