Level Curves
Problem:
Sketch the level curves of the function,
f(x,y) = x^3 -y
Solution:
>
with(plots):
>
contourplot(x^3-y,x=-2..2,y=-2..2,contours=[0,1,2]);
This command produces the level curves at levels 0,1 and 2.
Notice that these are the cubics
y = x^3 - c
that intersect the x-axis at x=c^(1/3)
Link to the commands in this file
Carlos Rodriguez <carlos@math.albany.edu>
Last modified: Wed Mar 21 13:20:51 EST 2001