Exercise 2.  Sketch the following curves.  

2 (c).  [Graphics:Images/ContourIntegralModHome_gr_117.gif],  for  [Graphics:Images/ContourIntegralModHome_gr_118.gif].  

Solution 2 (c).

See text and/or instructor's solution manual.

                              [Graphics:../Images/ContourIntegralModHome_gr_119.gif]

                    The curve  [Graphics:../Images/ContourIntegralModHome_gr_120.gif],  for  [Graphics:../Images/ContourIntegralModHome_gr_121.gif].

 

                              [Graphics:../Images/ContourIntegralModHome_gr_122.gif]

                    The curve  [Graphics:../Images/ContourIntegralModHome_gr_123.gif],  for  [Graphics:../Images/ContourIntegralModHome_gr_124.gif],  is part of the ellipse  [Graphics:../Images/ContourIntegralModHome_gr_125.gif].

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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