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 + y2 + z2 = 4 once, traveling from outside the sphere to inside as t goes from −∞ to ∞.
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The path intersects the sphere when rt satisfies the equation of the sphere that is when rt 4 21 e ...View the full answer
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