cheuk

Describe the level surfaces of g(x; y; z) = x2 - 2y2 + z2

Find the equation of the plane containing the points (1; 0; 0), (0; 2; 0) and (2; 1; 3).

Consider the surface given by the equation: 2x2 - 3z2 - 4x -4y - 12z + 2 = 0 (a) Write in standard form ) (b) Determine and classify the traces with planes parallel to the xy-, xz- and yz- planes. (c) Hence classify the surface.