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x2 10. The graph of the equation B2 A? = 1 is a hyperbola for any nonzero constants A and B. (a) What is the eccentricity of the hyperbola? (b) Explain why the eccentricity, e, of a hyperbola is always greater than 1. (c) What is lim e? What happens to the shape of the A→0 hyperbola as A → 0? (d) What is lim e? What happens to the shape of the A→00 hyperbola as A → ?

x2 10. The graph of the equation B2 A? = 1 is a hyperbola for any nonzero constants A and B. (a) What is the eccentricity of the hyperbola? (b) Explain why the eccentricity, e, of a hyperbola is always greater than 1. (c) What is lim e? What happens to the shape of the A→0 hyperbola as A → 0? (d) What is lim e? What happens to the shape of the A→00 hyperbola as A → ?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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x2 10. The graph of the equation B2 A? = 1 is a hyperbola for any nonzero constants A and B. (a) What is the eccentricity of the hyperbola? (b) Explain why the eccentricity, e, of a hyperbola is always greater than 1. (c) What is lim e? What happens to the shape of the A→0 hyperbola as A → 0? (d) What is lim e? What happens to the shape of the A→00 hyperbola as A → ?
Transcribed Image Text:x2 10. The graph of the equation B2 A? = 1 is a hyperbola for any nonzero constants A and B. (a) What is the eccentricity of the hyperbola? (b) Explain why the eccentricity, e, of a hyperbola is always greater than 1. (c) What is lim e? What happens to the shape of the A→0 hyperbola as A → 0? (d) What is lim e? What happens to the shape of the A→00 hyperbola as A → ?
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