Maple #2 is a 5 part problem set. (Each part is worth 4 points for a total
of 20 points.)

parts A & B are due stapled together on Thursday 2 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 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).



A. Combined contour and gradplot for the matlab function using the maple
display command. As before, we want 20 contours, we want the range the
same as http://www.math.fsu.edu/~bellenot/class/s03/cal3/maple/graph4_0.gif
we want the contours smooth. The gradplot needs to use the option arrows
=thick. Be sure everything has the same scale in the x & y direction. And
remember the title. Note I only want to see one plot.

B. A similar combined contour and gradplot for the function sin(x)sin(y)
over one period in both the x and y direction. Maple is never going to
get the contour z=0 correct, but there are two ways to convince maple
not to try to draw the z=0 contour. Either list the contours you want
like contours=[1.8,1.4,1.0,0.6,0.2,-0.2,-0.6,-1.0,-1.4,-1.8] or make
contours=odd number (or maybe it is contours=even number) [Sigh, actually
which of even or odd works, seems to change with Maple versions.]
Note I only want to see one plot.