Math. 311                                         Spring 2000

                     HOMEWORK SUMMARY REPORT


  Assignment number:12          
    
  Problem number:7.6.9  

  Number of papers received:1  

  Reviewing committee (Greek letter):theta       

  List all participating members:Alisa Marshall & Cherie Mazurowski



  Author[s] of paper[s] chosen for publication: ... (needs alot of
revision)  

  Comments:I think that the concept was understood of what was supposed to
actually be done to solve the problem, but he had trouble relating
different coordinate systems.  We are giving him a chance to revise the
problem and gave him a few hints to help him on his way.  I think that the
problem is kind of hard, I don't think the majority of the class would be
able to solve this problem.  Looking back at solutions from fall 96, I
noticed that the two that were submitted were partially right but ended up
with the wrong answer.
  [Comments in the review:]
This paper does need alot of revision before it can be
published, since it was the only one submitted we decided that you were on
the right track, but just needed a little push in the right direction so
that you could sucessfully solve the problem.  In you paper you say that
you can't relate x&y to r&theta.  Why don't you try relating it to polar
coordinates instead.  z will become sqrt(4^2-p^2).  Then, by projecting
this onto the x-y plane you can find the upper and lower limits of p to be
2*sqrt3 and 0 respectively.  Now all you have to do is integrate.  (The
final answer you should get is 112*pi/3).  If you could please redo this
problem using these hints, then we will be able to have a suitable
solution for publication.  

INSTRUCTOR'S COMMENT:  The paper was very incomplete, and it is too close
to the end of semester to expect a revision.  The two '96 papers represent
alternative ways of solving the problem and are correct except for minor
errors that have been corrected by the grader or me.