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

3 (a).  [Graphics:Images/ComplexGeometryModHome_gr_72.gif].  

Solution 3 (a).

See text and/or instructor's solution manual.

Inside, since  [Graphics:../Images/ComplexGeometryModHome_gr_73.gif].  

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexGeometryModHome_gr_74.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_75.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_76.gif]
[Graphics:../Images/ComplexGeometryModHome_gr_77.gif]


















This solution is complements of the authors.



































 

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