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Numerade Educator



Problem 32 Medium Difficulty

At what points does the helix $ r(t) = \langle \sin t, \cos t, t \rangle $ intersect the sphere $ x^2 + y^2 + z^2 = 5 $?


$\begin{array}{ll}t=2 & \left(\sin ^{2}, \cos ^{2} ,2\right) \\ t=-2 & \left(\sin ^{-2} \cos ^{-2},-2\right)\end{array}$


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Video Transcript

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