Parametric equations for tangent line to the curve of intersections of two surfaces

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Thank you very much!! I appreciate this, you have helped me immensely

sonny
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Thank you so much!! This was very helpful! I like the pace at which you explained!

CaseyKlein
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Why we pick f(xyz) as x^2+y^2-2 but not z-4+x.If we change f and g then the tangent line is different?

TPC-go
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You sketched the plane really poorly. It looks like the plane is standing up, not laying flat

KalleKalas-rv