Find the Vertices, Foci, and Eccentricity of the Ellipse Given $$y ^ { 2 } = 4 - 2 x ^ { 2 }$$

question 99

Essay

Find the vertices, foci, and eccentricity of the ellipse given by $$y ^ { 2 } = 4 - 2 x ^ { 2 }$$ . Determine the lengths of the major and minor axes, and sketch the graph.

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Definitions:

Major Organic Product

The primary outcome of an organic reaction which is produced in the greatest quantity.

Fischer Esterification

A chemical reaction process that forms an ester from an alcohol and a carboxylic acid in the presence of an acid catalyst.

Acetic Acid

A simple carboxylic acid known as the main component of vinegar, widely used in the food industry and chemical manufacturing.

Methanol

A simple alcohol with the formula CH3OH, used as a solvent, antifreeze, fuel, and as feedstock for chemical synthesis.