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u(x, y) = x2 y? 2xy 2x + 3y For the following function a) Determine whether the function is harmonic. b) If it is

u(x, y) = x2 y? 2xy 2x + 3y For the following function a) Determine whether the function is harmonic. b) If it is harmonic, find its harmonic conjugate function. c) Form an analytic function f(z) = u(x,y) + iv(x,y) from the harmonic function and its harmonic conjugate.

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