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3. (9 points) Let S be the quadratic surface given by 2y22 (a) Classify S 10 elliptic paraboloid (B) S is a hyperboloid of on

Can someone help me understand part c, I'm not quire how to do it. The answer is (0,0, plus/minus root(10)) and I don't know how to get there.

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10 10 it has form ellips oid S is an (b) -2z2 -10 2 = x + f(x,y.z) normal of plane is, (./y,J)=(2x,2y,4z)=(2,2,8) point on pl

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