Using real and imaginery parts, find the values

In the following equation (see attached), by equating real and imaginary parts, find the values of X & Y ...

Show that the derivative of the following function does not exists at any point f(z) = 2x + ixy^2 Note that I and j are used and they represent the same imaginary quantity ( – 1)^(1/2).

Complex Variables Existence of a Function Show that the derivative of the following function does not exists at any point f(z) = 2x + ixy^2 Note that I and j are used and they represent the same imaginary quantity ( – 1)^(1/2). See the attached file.

Complex Integration

b. Determine the path traced out by w as z moves along a straight line joining... Please see attached.

Complex Analysis

a. A certain fluid is flowing with a constant speed V in a direction making an angle B with the positive x-axis. Find the complex potential for the fluid under consideration. Also determine the velocity and the stream functions. (12 marks)

Complex Analysis

b. A region is surrounded by two infinitely long concentric cylinders of radii... Determine the potential and electric field vector everywhere in the region. Please see attached.