Solved: The eccentricity e of a hyperbola is defined as

Chapter , Problem 11.4.71

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The eccentricity e of a hyperbola is defined as the number , a where a and c are the numbers given in equation (2). Because c > a, it follows that e > 1. Describe the general shape of a hyperbola whose eccentricity is close to 1. What is the shape if e is very large?

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