Exercise 3.  Express the following functions in the form  [Graphics:Images/ComplexFunLinearModHome_gr_41.gif].  

3 (a).  [Graphics:Images/ComplexFunLinearModHome_gr_42.gif].

Solution 3 (a).

See text and/or instructor's solution manual.

        [Graphics:../Images/ComplexFunLinearModHome_gr_43.gif]   

Here we have  [Graphics:../Images/ComplexFunLinearModHome_gr_44.gif]  and  [Graphics:../Images/ComplexFunLinearModHome_gr_45.gif].

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexFunLinearModHome_gr_46.gif]
[Graphics:../Images/ComplexFunLinearModHome_gr_47.gif]
[Graphics:../Images/ComplexFunLinearModHome_gr_48.gif]















This solution is complements of the authors.



























 

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