Maple #1 is a 5 part problem set. (Each part is worth 4 points for a total
of 20 points.)

part B is due Tuesday 9 Sep

For FULL credit STAPLE your sheets together.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Actually unstapled assignments will not be accepted.

You are to plot the five functions below (one for each part). 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.

[Remember, either define e:=exp(1) or replace e^x with exp(x). A common
error is to replace e^x with exp^x, and unfortunately Maple doesn't
notice the error, and does something dumb.]

The MATLAB function is given below, it has missing *'s and e's that don't
work in Maple

matlab:= 3(1-x)^2 e^(-x^2-(y+1)^2)
    - 10(x/5-x^3-y^5)e^(-x^2-y^2) -(1/3)e^(-(x+1)^2-y^2).

B.  Do a plot3d of the matlab function over the same range as part A
but using the `style menu' `patch and contour' instead of the default patch,
if you use the default graph the contours don't look so good. Increase
the number of samples via grid or numpoints so the contours look
smooth.  Remember the title. (Webmaple uses style and patchcontour, Maple 8
can use the style menu and select `patch and contour'.) Use an orientation
that looks good, perhaps the same one as in part A.