Another service from Omega

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.
picture a picture here


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