How to plot two unknowns in maple 14?

Question

This doesn't works in Maple 14. Why? How can I plot this function? $$\text{plot}\left(\frac{x^2 \cdot y^2}{x^2+y^2},x,y = -\infty .. \infty\right);$$ Here's the original function (where is it continuous?): $$f(x,y) = \begin{cases} \frac{x^2 y^2}{x^2+y^2}, & \text{if } x^2+y^2 \neq 0, \\ 0, & \text{if } x^2+y^2=0. \end{cases}$$

score 3 · Accepted Answer · edited Jun 12 '20 at 10:38

3

You can use the following codes seperately:

plot3d((x^2*y^2)/(x^2+y^2), x = -10 .. 10, y = -10 .. 10);

or

with(plots);

implicitplot3d(z = (x^2*y^2)/(x^2+y^2), x = -10 .. 10, y = -10 .. 10, z = 0 .. 50, numpoints = 20000);

In both cases, your plot is

enter image description here

Note that in 3D, Maple cannot handle the infinite ranges as you desired.

edited Jun 12 '20 at 10:38

Community

1

answered Mar 11 '13 at 18:16

Mikasa

67,374

Wow...very cool! +1 – amWhy Mar 11 '13 at 18:58
nice one :) (I updated the Q with the original q from a book) – gasko peter Mar 11 '13 at 22:09
I just installed maple today :D but it looks like a good software :) I just need to know "where is it continuous?" – gasko peter Mar 11 '13 at 22:11

score 0 · Answer 2 · answered Mar 11 '13 at 17:37

0

Your function is $f(x,y)=\frac{x^2y^2}{x^2+y^2}$. The function depends of two variables. So, if you want to draw the function, you will result with a 3-dimensional-plot.

The maple-function is called plot3d.

answered Mar 11 '13 at 17:37

Jakube

1,847

Thanks, good to know.. now I only need to know where is it continuous? – gasko peter Mar 11 '13 at 22:11

How to plot two unknowns in maple 14?

2 Answers2