Here I work through some complex variables problems from the standard math methods in physics book by Arfken and Weber. Utilizing complex variables/complex analysis when tackling physics problems can be incredibly illuminating, especially in the topics of wave analysis. A pdf is attached here that contains answers to problems 11.2.1, 11.2.11, and 11.4.2. These should obviously not be used as a solution guide(and their validity is not guaranteed), but should be helpful in illuminating the topic of complex variables, the Cauchy-Riemann Equations, and their use in physics.