Describe the graph of the equation. r= 18 cos ti - 9 sin tj - O tis an ellipse in thez = 1 plane, center at (0, 0, 1), major axis of length 18 parallel to the x-axis, minor axis of length 9 parallel to the y-axis. It is an ellipse in the z= -1 plane, center at (0, 0, - 1). major axis of length 36 parallel to the x-axis, minor axis of length 18 parallel to the y-axis. O tis an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 18 parallel to the x-axis, minor axis of length 9 parallel to the y-axis. O tis anellipse in thez- -1 plane, center at (0, 0, - 1), major axis of length 36 parallel to the y-axis, minor axis of length 18 parallel to the x-axls. O t is an ellipse in thex-1 plane, center at (-1, 0, 0), major axis of length 36 parallel to thex-axis, minor axis of length 18 parallel to the y-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 63E
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Describe the graph of the equation.
r= 18 cos ti + 9 sin tj - k
O tis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 18 parallel to the x-axis, minor axis of length 9 parallel
to the y-axis.
O ltis an ellipse in the z = -1 plane, center at (0, 0,-1), major axis of length 36 parallel to the x-axis, minor axis of length 18
parallel to the y-axis.
O t is an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 18 parallel to the x-axis, minor axis of length 9 parallel
to the y-axis.
O It is an ellipse in the z -1 plane, center at (0, 0, - 1), major axis of length 36 parallel to the y-axis, minor axis of length 18
parallel to the x-axis.
O t is an ellipse in thex-1 plane, center at (-1, 0, 0), major axis of length 36 parallel to thex-axis, minor axis of length 18
parallel to the y-axds.
Transcribed Image Text:Describe the graph of the equation. r= 18 cos ti + 9 sin tj - k O tis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 18 parallel to the x-axis, minor axis of length 9 parallel to the y-axis. O ltis an ellipse in the z = -1 plane, center at (0, 0,-1), major axis of length 36 parallel to the x-axis, minor axis of length 18 parallel to the y-axis. O t is an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 18 parallel to the x-axis, minor axis of length 9 parallel to the y-axis. O It is an ellipse in the z -1 plane, center at (0, 0, - 1), major axis of length 36 parallel to the y-axis, minor axis of length 18 parallel to the x-axis. O t is an ellipse in thex-1 plane, center at (-1, 0, 0), major axis of length 36 parallel to thex-axis, minor axis of length 18 parallel to the y-axds.
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