Extra Example 1. Consider the mapping  [Graphics:Images/ComplexFunPowerRoot_gr_91.gif].  Find the image of the ray  [Graphics:Images/ComplexFunPowerRoot_gr_92.gif]  and circle [Graphics:Images/ComplexFunPowerRoot_gr_93.gif].  

Explore Extra Solution 1.

Find the image of the ray  [Graphics:../Images/ComplexFunPowerRoot_gr_94.gif]  and circle [Graphics:../Images/ComplexFunPowerRoot_gr_95.gif].  

[Graphics:../Images/ComplexFunPowerRoot_gr_96.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_97.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_98.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_99.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_100.gif]

 

 

 

 

[Graphics:../Images/ComplexFunPowerRoot_gr_101.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_102.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_103.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_104.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_105.gif]

 

 

 

 

[Graphics:../Images/ComplexFunPowerRoot_gr_106.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_107.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_108.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_109.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_110.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_111.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_112.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell