Show that the path given by r(t) (e t sin t, e t cos t, e t ) intersects the sphere x 2 y 2 z 2 4 once, traveling from outside the sphere to inside as t goes from to

Question: Show that the path given by r(t) = (e t sin t, e t cos t, e t ) intersects the sphere x 2 +

Show that the path given by r(t) = (e^−tsin t, e^−tcos 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 full answer

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