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A surface x2 +y2 -z = 1 radiates light away. It can be parametrized as ~r(x;...

A surface x2 +y2 -z = 1 radiates light away. It can be parametrized as ~r(x; y) = [x, y, x2 + y2 -1]T . Find the parametrization of the wave front ~r(x,y) + ~n(x, y), which is distance 1 from the surface. Here ~n is a unit vector normal to the surface.

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