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7.2.1 Calculate the Gauss map of the paraboloid , with equation 2y2. What is the image of G?

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Let S be the surface [(x, y,z): x2 + y2-z) Parameterized by with U - ((u, v):u,vER) Xu-(1,0,2u) X, = (0,1,20) Now lu v XuxXu=Thus the normal Here the third component of N is positive, taking the intersection of with the unit sphere we get the image a

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7.2.1 Calculate the Gauss map of the paraboloid , with equation 2y2. What is the image of G? 7.2.1 Calculate the Gauss map of the paraboloid , with equation 2y2. What is the image of G?
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