If S is part of the plane [tex] z = y - 2 [/tex] that lies inside the elliptic cylinder [tex]x^2 + 4y^2 = 4[/tex] and I want to parametrize S I will let(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x = 2sin(t)[/tex]

[tex]y = cos(t)[/tex]

[tex]z = cos(t) - 2[/tex]

I assume this is right but let me know if not. My question is are there any other ways of parametizing S?

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# Are there any other ways of parametizing S?

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