An equation of an ellipse is given. X2 +224 1 4 36 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex (x, y) = ( (x, y) = vertex (smaller y-value) (larger y-value)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 46E
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An equation of an ellipse is given.
*
+
vertex
vertex
(a) Find the vertices, foci, and eccentricity of the ellipse.
(x, y) = (
(smaller y-value)
focus
شرا
focus
36
= 1
eccentricity
(x, y) =
(x, y) =
(x, y) =
(b) Determine the length of the major axis.
Determine the length of the minor axis.
(c) Sketch a graph of the ellipse.
-10
-10
-5
-5
y
10
5
-5
-10
y
10
-10
(larger y-value)
(smaller y-value)
(larger y-value)
5
5
10
10
X
X
-10
-10
-5
y
10
5
-5
-10
y
10
5
-5
-10
5
10
10
X
X
Transcribed Image Text:An equation of an ellipse is given. * + vertex vertex (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = ( (smaller y-value) focus شرا focus 36 = 1 eccentricity (x, y) = (x, y) = (x, y) = (b) Determine the length of the major axis. Determine the length of the minor axis. (c) Sketch a graph of the ellipse. -10 -10 -5 -5 y 10 5 -5 -10 y 10 -10 (larger y-value) (smaller y-value) (larger y-value) 5 5 10 10 X X -10 -10 -5 y 10 5 -5 -10 y 10 5 -5 -10 5 10 10 X X
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