1. Consider the function $z=f(x,y)=x^2-y$.
    • Draw the function as a surface in 3D (so construct several cross sections by picking a variable, setting it constant, and then drawing the resulting object.
    • Construct a contour plot (topographical map, graph of several level curves). Pick various output (z) values, and plot them in the $xy$ plane
  2. Consider the function $w=f(x,y,z)=x^2+y^2-z^2$.
    • Draw the level surface $w=1$.
    • Draw the level surface $w=4$.
    • Draw the level surface $w=-1$.
    • Draw the level surface $w=0$.

Problem Set
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