a. Consider the function f(z) = 1/2. Determine if the function is analytic everywhere. Determine its derivative if possible. How does your answer compare to the function of a real variable of similar format, e.g. f(x) = 1/x? 8 marks b. Determine the integral in the argand plane below along each of the paths C, C1 and C2. Comment on your answers. 4+4i C2 C₁ 1+i C 4+1 6 marks c. Consider a dipole with its equipotential curves and lines of force. Can complex variable analysis be used to model this system? Explain why giving details to support your answer using a sketch. 6 marks