2 The curve described by ( ¾7)² + : = 1 is known as an ellipse. Which of the following parameterizations has this ellipse as its trajectory for t > 0? Choose all that apply. ☐ cos 2t sin t 2 cost sin t 2 cos t 2 sin t cos² t sin t cos t sin² t 2 sin t cos t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The curve described by (2)² + y² = 1 is known as an ellipse. Which of the following parameterizations has this ellipse as its
trajectory for t > 0? Choose all that apply.
cos 2t
sin t
2 cos
sin t
2 cost
2 sin t
st)
cos² t
sin t
cos t
sin² t
2 sin t
cos t
▸
Transcribed Image Text:The curve described by (2)² + y² = 1 is known as an ellipse. Which of the following parameterizations has this ellipse as its trajectory for t > 0? Choose all that apply. cos 2t sin t 2 cos sin t 2 cost 2 sin t st) cos² t sin t cos t sin² t 2 sin t cos t ▸
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