Rachel M.

asked • 04/08/24

Define the parametrization of r(u,v)

F(x,y,z) = (y,x,x+z^2) accross the paraboloid z = x^2+y^2 over the unit disk oriented with upward point normal vector

r(u,v) = (u*cos(v), u*sin(v), ____)

I can't figure out what Z would be, I tried plugging in u*cos(v) and u*sin(v), which simplifies to u, but that wasn't correct.

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