To find: The standard equation of hyperbola
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Answer to Problem 37CR
The standard equation of the hyperbola is
Explanation of Solution
Given information:
The asymptote is
The foci of hyperbola is
Formula used:
The general equation of the hyperbola for transverse vertical axis is
Calculation:
Center:
The asymptote of the hyperbola is
The foci lie on a vertical line so the hyperbola has a vertical transverse axis. Use the equation for the asymptotes for a hyperbola with vertical transverse axis.
Now,
The given foci lie on a vertical line so the hyperbola has a vertical transverse axis. The center is at
Therefore, the standard equation of the hyperbola is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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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