- (F 2.6.18)
Compute the following integral, using the change of variables
to move the lower limit (and the singularity) to
:
- Compute the following integral:
- Fisher 3.3.5(d)

- Tell if each function is
-analytic, specifying
, then if the function is 2-analytic, check that the real and imaginary parts are biharmonic:
a) b) c)
- Decide if the following functions are harmonic or not by checking the first Cauchy-Riemann equation
, then check if the functions is biharmonic by checking if the difference
is harmonic (as we showed in class):
a) b) c)
- Based on the previous question, is a biharmonic function also harmonic, or not? Explain.

- Find all points at which the following mappings would not be conformal:
a) b) c) d)
- Fisher 3.4.8