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

parts D & E are due stapled together on Thursday 25 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);]


D. Use implicitplot3d(<equation>,<xrange>,<yrange>,<zrange>,<options> ...);
to figure out what kind of surface the equation generates. Check more than
one that one set of ranges, before coming to a conclusion. But show only one
graph that illustrates your answer.
(implicitplot3d needs to be loaded.)
x^2+xy+2y^2+7yz-z^2+3x-xz=1

E. Use spacecurve([<xvalue>,<yvalue>,<zvalue>],<trange>,<options> ... );
to figure out what the curve below looks like. Note that for these
parametric equations x^2+y^2 = 1 so the curve lives on the circular
cylinder, but it doesn't look it. You need fix this. (spacecurve needs
to be loaded.)
<x,y,z> = <cos(exp(t)),sin(exp(t)),t> for t=0..Pi