(a)
To graph:
(a)
Answer to Problem 48E
The graph
Explanation of Solution
Given information: Analytic Geometry: Two hyperbolas in which the transverse axis of one is the conjugate axis of the other are called conjugate hyperbolas . In equations of conjugate hyperbolas, the
Calculation:
(b)
To find: What is true of the asymptotes of conjugate hyperbolas.
(b)
Answer to Problem 48E
The asymptotes on conjugate hyperbolas are perpendicular
Explanation of Solution
Given information: Analytic Geometry: Two hyperbolas in which the transverse axis of one is the conjugate axis of the other are called conjugate hyperbolas . In equations of conjugate hyperbolas, the
Calculation:
The asymptotes on conjugate hyperbolas are perpendicular
(c)
To write:The equation of the conjugate hyperbola for
(c)
Answer to Problem 48E
Explanation of Solution
Given information: Analytic Geometry: Two hyperbolas in which the transverse axis of one is the conjugate axis of the other are called conjugate hyperbolas . In equations of conjugate hyperbolas, the
Calculation:
Conjugate hyperbola of:
(d)
To graph: The conjugate hyperbola
(d)
Answer to Problem 48E
The graph
Explanation of Solution
Given information: Analytic Geometry: Two hyperbolas in which the transverse axis of one is the conjugate axis of the other are called conjugate hyperbolas . In equations of conjugate hyperbolas, the
Calculation:
The graph:
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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