Using Maple 11 for calculus problems

[MAins]

For a function f(x,y) what commands do I use to plot the coresponding surface from, say, -2 </= x, y </= 2? How would I then plot contours?

 

[benorin]

For the example I have chosen $$f(x,y)=\frac{x}{\sqrt{1+x^2+y^2}}$$.

restart;
with(plots);
f:=(x,y)->x/(1+x^2+y^2)^(1/2);
plot3d(f(x,y),x=-2..2,y=-2..2);
contourplot(f(x,y),x=-2..2,y=-2..2,contours=25);

 

[oswaler]

As a fellow scientist, I would recommend using the "plot3d" command in Maple 11 to plot the corresponding surface for the function f(x,y). This command allows you to specify the range of values for x and y, which in this case would be -2 to 2. This will generate a 3D plot of the surface.

To plot contours, you can use the "contourplot" command in Maple 11. This command allows you to specify the function and the range of values for x and y, similar to the "plot3d" command. It will generate a 2D plot with contour lines representing the values of the function.

It is important to note that the accuracy of the plots will depend on the resolution and number of points used. You can adjust these parameters in the commands to get a more detailed or smoother plot.

I hope this helps with your calculus problems and good luck with your research!