How to plot this in maple?

Question

Consider this function: $f(x,y)=xy$ . How to plot the contour of this function and $x^2+y^2=1$ in a plane. I'm not familiar with maple coding but I need the code or at least some instructions on how to do it.

Answer 1

It's clear to me what you mean.

with(plots): with(plottools,circle):

Perhaps something like this?

display(contourplot(x*y, x=-1..1, y=-1..1,
                    contours=21, grid=[101,101],
                    coloring=["SteelBlue","Gold"],
                    filledregions=true),
        circle([0,0], 1, thickness=2),
        axes=box, scaling=constrained);

Or perhaps like this?

display(contourplot(x*y, x=-1..1, y=-sqrt(1-x^2)..sqrt(1-x^2),
                    contours=21, grid=[151,101],
                    coloring=["SteelBlue","Gold"],
                    filledregions=true),
        circle([0,0], 1, thickness=2));

Of course, you can change various options to adjust the shading, resolution, ranges, etc. See the Help page for topic, plot,options which is also available in your Maple itself.