How do I define the function to be 0 at x=0?
Struggling first-year undergrad here... sorry if this question seems stupid.
I want to graph the 3d and contour plots of f(x,y)=x*y*(x^2-y^2))/(x^2+y^2)
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Since the function is undefined at 0 I need to also define the function to be 0 at x=0.
Here's what I wrote
x, y = var('x y')
plot3d((x*y*(x^2-y^2))/(x^2+y^2), (-3, 3), (-3, 3))
contour_plot((x*y*(x^2-y^2))/(x^2+y^2), (-10, 10), (-10, 10), fill=0, labels=40)
The contour plot looks a bit funky, there's a big cross made by two lines at the origin which I suppose is because the function is undefined at 0.