Hyperbolic Paraboloid




Graphs and Level curves of functions of Two variables

Definitions
  • The set of points (x,y) in the plane where a function f (x,y) has a constant value f(x,y)=c is called a level curve of f
  • The set of all points (x,y,f (x,y)) in space, for (x,y) in the domain of f, is called the graph of f
  • The graph of f is called the surface z=f (x,y)
  • The equation of the following hyperbolic paraboloid is `z=50+x^2-y^2`

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