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y. 4 (-4, 0) (4, 0) + 2 Focus Focus (-5, 0). (5, 0)

y. 4 (-4, 0) (4, 0) + 2 Focus Focus (-5, 0). (5, 0)

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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Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin.

y. 4 (-4, 0) (4, 0) + 2 Focus Focus (-5, 0). (5, 0)
Transcribed Image Text:y. 4 (-4, 0) (4, 0) + 2 Focus Focus (-5, 0). (5, 0)
Expert Solution
Step 1

The center of the hyperbola given in the image is origin (0,0).

a is the distance between the center and vertex and vertex is (4,0) and (-4,0). So, the value of a will be,
a=4

c is the distance between center and focus (5,0). So, the value of c will be,
c=5

Now, the value of b is calculated as,
b2=c2-a2=52-42=9b=9=3

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