Show that the path given by r(t) = (cos t, cos(2t), sin t) intersects the xy-plane infinitely

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Show that the path given by r(t) = (cos t, cos(2t), sin t) intersects the xy-plane infinitely many times, but the underlying space curve intersects the xy-plane only twice.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 04, 2024 01:31 PM

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Show that the path given by r(t) = (cos t, cos(2t), sin t) intersects the xy-plane infinitely

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The given curve intersects the xyplane whenever the z coordinate of rt is zero whi...View the full answer

Calculus

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