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Level Sets
ü A Function of Two Variables : F @x , yD = x2 + y2 Represents a Surface
Intersect the Surface with a Plane at a Height above the xy-plane
2 Level Sets -- Slide Show.nb
The Plane DRAWS a curve on the Surface
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: , >
Level Sets -- Slide Show.nb 3
Project the curve on the surface onto the xy-planeThis gives the Level Curve in the xy-plane
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4 Level Sets -- Slide Show.nb
Add more Level Curves
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Level Sets -- Slide Show.nb 5