step by step solutions

3. (2 points) Write the following in the form ((2) = (x, y) + i17(x, y) where z = x + iy: (a) ((2) = 1/(Z ~ 1') (b) ((2) = (Z + 1)/(E - 1) Note that Z is the complex conjugate of z. 4. (4 points) Find and classify all of the singularities in the nite complex zplane for each of the following func- tions: (a) f(2) = (4 + 22)/(4 22) (b) f(z) = (4 + z2)/(4 z)2