# Java Applet Worksheet

## To access Professor May's applets (based on work of Tom Banchoff):

http://www.slu.edu/classes/maymk/banchoff/

link:
Cross Section

button:
Cross Section Applet

Spread the four
graphs out
where you can see them all, as well as the control panel.

Enter what equation
you want
to graph in the f(x,y) window (using Maple conventions: x*y means xy), and adjust the
x and y ranges as desired. You
have to hit return/enter in a box
in order for the change to take effect.

For the surface z = x^{2} + y^{2}
- x^{2}*y^{2},
describe how the x-slices change from y_{0} = -1.5 to y_{0} = 1.5. For.what value
of y_{0} is the x-slice close to
being a line?

For the surface z = e^(-x^{2}
- y^{2}
+ 4*x – 4), where does the peak
occur? (You might want to zoom out
a bit.)

Return to the CrossSection Applet page.

Last updated By Mike May, S.J.,
October 7, 2004.