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

part C is due Thursday 18 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. Most plotting commands are
loaded went you type with(plots);]

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).

C. Do a contourplot of the matlab function over the same range.
(contourplot NOT contourplot3d).  You need to both increase the number
of samples to make the contours smooth and increase the number of
contours to 20 (hint: contours=20). For this contourplot you need
to make the x and y scales the same (hint scaling=constrained). If
you do not like the colors, you can do color=black or color=[red,blue]
[Do not forget the title. The maple command contourplot is not a
built-in command, it has to be loaded first.]