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Numerade Educator

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Problem 46 Hard Difficulty

Find a vector function that represents the curve of intersection of the two surfaces.

The semiellipsoid $ x^2 + y^2 + 4z^2 = 4, y \ge 0 $, and the cylinder $ x^2 + z^2 = 1 $

Answer

$\cos \theta \mathbf{i}+\sqrt{3}|\cos \theta| \mathbf{j}+\sin \theta \mathbf{k}$
Where $\theta \in[0,2 \pi]$

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Video Transcript

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