Exercise 7.  For  [Graphics:Images/ComplexFunLinearModHome_gr_138.gif], let  [Graphics:Images/ComplexFunLinearModHome_gr_139.gif],  where  [Graphics:Images/ComplexFunLinearModHome_gr_140.gif],  and  [Graphics:Images/ComplexFunLinearModHome_gr_141.gif].  Find  

7 (a). [Graphics:Images/ComplexFunLinearModHome_gr_142.gif].

Solution 7 (a).

See text and/or instructor's solution manual.

        [Graphics:../Images/ComplexFunLinearModHome_gr_143.gif]  

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexFunLinearModHome_gr_144.gif]
[Graphics:../Images/ComplexFunLinearModHome_gr_145.gif]
[Graphics:../Images/ComplexFunLinearModHome_gr_146.gif]


















This solution is complements of the authors.



























 

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