Maple #8 is due Thursday 30 Mar 2000 

For FULL credit STAPLE your sheets together.
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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
in 4.

1. Plot the following spacecurves (from test 1 fall 96)
  a. <cos t, sin t, cos 4t>
  b. <cos 4t, sin 4t, 4t>
  c. <t cos t, t sin t, t>
  d. <4t, sin 4t, cos 4t>
2. Plot the following vector fields (from test 3 fall 96)
  a. <y, x>
  b. <-y, x>
  c. <x^2, -y>
  d. <-x, -y>
3. Use Maple to find the equation of the flow line of 2b passing 
through the point (3,2). 
4. Combine the graph of 2b and the flow computed in 3. Which numerical
method is being used?
5. The curve <cos 3t, sin 5t, cos 7t>, 0 <= t <= 2pi is particular hard
to figure out from a spacecurve. One can use "tubeplot" with a "nice"
radius and get a better picture of the curve. Do so. (careful, tubeplot
can be very slow, decrease the radius and increase the numpoints.)