An equation of a hyperbola is given. 36y² 25x² = 900 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (x, y) = ( [ (smaller y-value) (x, y) = vertex vertex focus focus asymptotes O (x, y) = (c) Sketch a graph of the hyperbola. -10 (x, y) = (b) Determine the length of the transverse axis. -10 -5 y -5 10 -10 y 10 5 (larger y-value) -5 (smaller y-value) -10 (larger y-value) 5 ** 5 10 -10 5 10 -10 -5 y 10 5 ** X 5 10 -5 -10 y 10 -5 -10 --------- X 10
An equation of a hyperbola is given. 36y² 25x² = 900 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (x, y) = ( [ (smaller y-value) (x, y) = vertex vertex focus focus asymptotes O (x, y) = (c) Sketch a graph of the hyperbola. -10 (x, y) = (b) Determine the length of the transverse axis. -10 -5 y -5 10 -10 y 10 5 (larger y-value) -5 (smaller y-value) -10 (larger y-value) 5 ** 5 10 -10 5 10 -10 -5 y 10 5 ** X 5 10 -5 -10 y 10 -5 -10 --------- X 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An equation of a hyperbola is given.
36y² 25x² = 900
(a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.)
(x, y) = ( [
(smaller y-value)
(x, y) =
vertex
vertex
focus
focus
asymptotes
O
(x, y) =
(c) Sketch a graph of the hyperbola.
-10
(x, y) =
(b) Determine the length of the transverse axis.
-10
-5
y
-5
10
-10
y
10
5
(larger y-value)
-5
(smaller y-value)
-10
(larger y-value)
5
**
5
10
-10
5
10
-10
-5
y
10
5
**
X
5
10
-5
-10
y
10
-5
-10
---------
X
10
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