Level Curves and Visualization of Surfaces
Example: Draw several level curves for the graph of f(x,y) = y e2x .
Strategy: Set y e2x = C and let C take on the values 1, 2, 5
y = C e ˗ 2x
So y(x) = e ˗ 2x y(x) = 2 e ˗ 2x y(x) = 5 e ˗ 2x
Then plot each level curve as shown below.
Click here for another example.
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