Exercise 1.  Find  [Graphics:Images/ComplexGeometryContinuedModHome_gr_1.gif]  for the following values of  z.    

1 (a).  [Graphics:Images/ComplexGeometryContinuedModHome_gr_7.gif].  

Solution 1 (a).

See text and/or instructor's solution manual.

 

        [Graphics:../Images/ComplexGeometryContinuedModHome_gr_8.gif]  

We are done.   

Aside.  We can let Mathematica double check our work.

        

[Graphics:../Images/ComplexGeometryContinuedModHome_gr_9.gif]

  

[Graphics:../Images/ComplexGeometryContinuedModHome_gr_10.gif]
[Graphics:../Images/ComplexGeometryContinuedModHome_gr_11.gif]




















This solution is complements of the authors.







































 

(c) 2008 John H. Mathews, Russell W. Howell