Exercise 3.  Which of the following points lie inside the circle  [Graphics:Images/ComplexGeometryModHome_gr_71.gif] ?  Explain your answers.

3 (c).  [Graphics:Images/ComplexGeometryModHome_gr_84.gif].  

Solution 3 (c).

See text and/or instructor's solution manual.

Outside, since  [Graphics:../Images/ComplexGeometryModHome_gr_85.gif].  

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexGeometryModHome_gr_86.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_87.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_88.gif]
[Graphics:../Images/ComplexGeometryModHome_gr_89.gif]


















This solution is complements of the authors.



































 

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