Describe the graph of the equation. = 6 cos t i + 2 sin t j -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 4 parallel to the y-axis. O Itis an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 6 parallel to the x-axis, minor axis of length 2 parallel to the y-axis. O tis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 6 parallel to the x-axis, minor axis of length 2 parallel to the y-axis. O Itis an ellipse in thex = -1 plane, center at (-1, 0, 0), major axis of length 12 parallel to the x-axis, minor axis of length 4 parallel to the y-axis. O Itis an ellipse in the z = -1 plane, center at (0, 0, - 1), major axis of length 12 parallel to the y-axis, minor axis of length 4 parallel to the x-axis.
Describe the graph of the equation. = 6 cos t i + 2 sin t j -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 4 parallel to the y-axis. O Itis an ellipse in thex = 1 plane, center at (1, 0, 0), major axis of length 6 parallel to the x-axis, minor axis of length 2 parallel to the y-axis. O tis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 6 parallel to the x-axis, minor axis of length 2 parallel to the y-axis. O Itis an ellipse in thex = -1 plane, center at (-1, 0, 0), major axis of length 12 parallel to the x-axis, minor axis of length 4 parallel to the y-axis. O Itis an ellipse in the z = -1 plane, center at (0, 0, - 1), major axis of length 12 parallel to the y-axis, minor axis of length 4 parallel to the x-axis.
Chapter8: Analytic Geometry
Section8.5: Conic Sections In Polar Coordinates
Problem 60SE: Recall from Rotation of Axes that equations of conics with an xy term have rotated graphs. For the...
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Transcribed Image Text:Describe the graph of the equation.
r = 6 cos ti+ 2 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 4
parallel to the y-axis.
O Itis an ellipse in the x = 1 plane, center at (1, 0, 0), major axis of length 6 parallel to the x-axis, minor axis of length 2 parallel
to the y-axis.
O Itis an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of length 6 parallel to the x-axis, minor axis of length 2 parallel
to the y-axis.
O Itis 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 4
parallel to the y-axis.
O Itis an ellipse in the z = -1 plane, center at (0, 0, - 1), major axis of length 12 parallel to the y-axis, minor axis of length 4
parallel to the x-axis.
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