(Steps Shown) Consider the curve S obtained as the intersection of the surfaces: x=y^2+z^2 , x-2y+4z=0 , Determine the curve obtained as the orthogonal projection
Question: (2 points) Consider the curve \(S\) obtained as the intersection of the surfaces:
\[\begin{aligned} & x={{y}^{2}}+{{z}^{2}} \\ & x-2y+4z=0 \\ \end{aligned}\]
Determine the curve obtained as the orthogonal projection of the curve \(S\) in the yz-plane.
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