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Contour Maps and Functions of Two Variables

Below are the six functions from the Lecture 5 Matching Game, as well as the curves of intersection of the functions with various horizontal planes. You can move the functions around to get a feel for what they look like. Also note: a contour map should be drawn in 2D. I've given you the cross sections at the various heights, and if you look from above down at the xy-plane, you'll see the projections of these cross sections onto the xy-plane, which form the contour map. But contour maps are drawn in the domain space, in this case the xy-plane.

Equation 1

Equation 2

Equation 3

Equation 4

Equation 5

Equation 6