Example 5.2.  Consider a rectangle  , where  .  Show that the transformation    maps the rectangle onto a portion of an annular region bounded by two rays.
Explore Solution 5.2.

Enter the function  .  
For illustration.  We graph the image of  the rectangle .  

We see that the transformation    maps the rectangle    onto a portion of an annular region    bounded by two rays  .  

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