Show that the path given by r(t) = (e t sin t, e t cos t, e

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Show that the path given by r(t) = (e−t sin t, e−t cos t, e−t) intersects the sphere x2 + y+ z2 = 4 once, traveling from outside the sphere to inside as t goes from −∞ to ∞.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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