Extra Example 2. Consider the mapping  [Graphics:Images/ComplexFunPowerRoot_gr_163.gif].  Find the image of the ray  [Graphics:Images/ComplexFunPowerRoot_gr_164.gif]  and circle [Graphics:Images/ComplexFunPowerRoot_gr_165.gif].  

Explore Extra Solution 2.

Find the image of the ray  [Graphics:../Images/ComplexFunPowerRoot_gr_166.gif]  and circle [Graphics:../Images/ComplexFunPowerRoot_gr_167.gif].  

[Graphics:../Images/ComplexFunPowerRoot_gr_168.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_169.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_170.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_171.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_172.gif]

 

 

 

 

[Graphics:../Images/ComplexFunPowerRoot_gr_173.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_174.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_175.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_176.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_177.gif]

 

 

 

 

[Graphics:../Images/ComplexFunPowerRoot_gr_178.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_179.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_180.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_181.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_182.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_183.gif]

[Graphics:../Images/ComplexFunPowerRoot_gr_184.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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