We know that if we have 3 variables in a function, its graph will be (usually) a four-dimensional surface.
Suppose we are given a function that has 3 variables f(x,y,z) = 16x^2 - y + 4z^2. What are all the level surfaces of the func.? For EVERY kind of level surface, choose examples and determine a parametrization for each surface that you come up with. Plot these results.
Uh, where to start?