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Concept explainers
To find: the equation for the hyperbola.
![Check Mark](/static/check-mark.png)
Answer to Problem 21E
The equation of hyperbola is
Explanation of Solution
Given information:
From the figure, provided in the question it is observed that
Vertices of hyperbola :
Foci of hyperbola :
Calculation:
since from the given vertices it is observed that the vertices of the hyperbola are on the x-axis, so the hyperbola has a horizontal transverse axis.
So the equation is of the form,
Since
Use the relation ,
So the equation of hyperbola,
Hence, the equation of hyperbola is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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