Question: A surface is described by the equation xy + yz + zx = 14. (a) Give a parameterization for the line that is normal to

A surface is described by the equation xy + yz + zx = 14.

(a) Give a parameterization for the line that is normal to the surface at the point (1, 2, 4).

(b) Give the equation of the plane that is tangent to the surface at the point (1, 2, 4).

(c) Describe the set of points for which the surface cannot be described as the graph of a function, z = g(x, y).

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