Question: Consider the surface z = 2 x 2 + 2 y 2 . a ) Give the trace in the x z - plane. What

Consider the surface z=2x2+2y2.
a) Give the trace in the xz-plane. What is this object?
b) Give the trace in the yz-plane. What is this object?
c) Give the trace in the plane z=8. What is this object?
d) Identify the quadric surface z=2x2+2y2. Circle the correct choice.
ellipsoid
cone
hyperbolic paraboloid
elliptic paraboloid
Consider the surface z = 2 x 2 + 2 y 2 . a ) Give

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