x(u,v)=(u+v, u-v, uv), u,v e R What plane is this?
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Originally Posted by mboricgs x(u,v)=(u+v, u-v, uv), u,v e R What plane is this? It is not a plane. From $\displaystyle u+v=x,u-v=u,z=uv$, you'll obtain $\displaystyle 4z=x^2-y^2$ (a hyperbolic paraboloid).
I am looking in some past colloquiums, and that is the question from one of them
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