Maple #1 is due Thursday 13 Jan 2000

For FULL credit STAPLE your sheets together.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

You are to plot the five functions below. Each plot must be rotated to 
a "nice" position and "look good (smooth)" . Each plot must have include
axes and the title must include your name and what was plotted. Note
that the expressions below are not necessarily in a form that Maple
likes. Be sure to answer the questions.

1. f(x,y) = x y. (For the domain use -L < x, y < L for interesting value
of L. [L = 0 is not interesting (why?), But every other L looks similar
(why?).] (Patch with contours is a good style to start with.)
2. g(x,y) = sin x sin y. (For a domain do one period in x and two periods
in y.)
3. Repeat #2 for sin x + sin y. The plots of #2 and #3 are similar,
name a shape feature which is different in the two plots.
4. h(x,y) = sin (x y) using the domain 0 < x, y < L. For L small, like
L = 3, the plot looks smooth. But for L = 5 the plot is already a little
rough. Fix this by using the numpoints option.
5. Plot the three planes z = x + y, z = x - y, and z = 1 - x - y on the
same graph. (domain -L < x, y < L.) [Hint plot3d({f,g,h},x=-L.. etc].