Question: 3. For the complex function f (z) = zz, determine its u(x, y) and v(x, y). Here, we let f (z) be a complex function


3. For the complex function f (z) = zz, determine its u(x, y) and v(x, y). Here, we let f (z) be a complex function of z = x + iy. We can write that f(z) = u(x, y) + iv(x, y), where u(x, y) is the real part of f (z) while v(x, y) is the imaginary part of f (z). Hint: Utilize polar representation and trigonometric identities for this given
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