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12 cos ti + 7 sin tj – k It is an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 12 parallel to the x-axis, minor axis of le parallel to the y-axis. It is an ellipse in the z = - 1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the x-axis, minor axis parallel to the y-axis. It is an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 12 parallel to the x-axis, minor axis of le parallel to the y-axis. It is an ellipse in the z -1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the y-axis, minor axis parallel to the x-axis. It is an ellipse in thex = -1 plane, center at (– 1,0, 0), major axis of length 24 parallel to the x-axis, minor axis parallel to the y-axis.

12 cos ti + 7 sin tj – k It is an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 12 parallel to the x-axis, minor axis of le parallel to the y-axis. It is an ellipse in the z = - 1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the x-axis, minor axis parallel to the y-axis. It is an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 12 parallel to the x-axis, minor axis of le parallel to the y-axis. It is an ellipse in the z -1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the y-axis, minor axis parallel to the x-axis. It is an ellipse in thex = -1 plane, center at (– 1,0, 0), major axis of length 24 parallel to the x-axis, minor axis parallel to the y-axis.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 53E
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Describe the graph of the equation. r = 12 cos ti + 7 sin tj – k O Itis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 12 parallel to the x-axis, minor axis of length 7 parallel to the y-axis. O It is an ellipse in the z = -1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the x-axis, minor axis of length 14 parallel to the y-axis. O It is an ellipse in the x = 1 plane, center at (1, 0, 0), major axis of length 12 parallel to thex-axis, minor axis of length 7 parallel to the y-axis. O It is an ellipse in the z = -1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the y-axis, minor axis of length 14 parallel to the x-axis. O It is an ellipse in the x = -1 plane, center at (– 1, 0, 0), major axis of length 24 parallel to the x-axis, minor axis of length 14 parallel to the y-axis.
Transcribed Image Text:Describe the graph of the equation. r = 12 cos ti + 7 sin tj – k O Itis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 12 parallel to the x-axis, minor axis of length 7 parallel to the y-axis. O It is an ellipse in the z = -1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the x-axis, minor axis of length 14 parallel to the y-axis. O It is an ellipse in the x = 1 plane, center at (1, 0, 0), major axis of length 12 parallel to thex-axis, minor axis of length 7 parallel to the y-axis. O It is an ellipse in the z = -1 plane, center at (0, 0, – 1), major axis of length 24 parallel to the y-axis, minor axis of length 14 parallel to the x-axis. O It is an ellipse in the x = -1 plane, center at (– 1, 0, 0), major axis of length 24 parallel to the x-axis, minor axis of length 14 parallel to the y-axis.
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