1. Find the real and imaginary parts u(x, y) and v(x, y) of the following functions. (a) f(z) = 1/z^2. (b) g(z) = ?^2. (c) h(z) = z^3 - 3iz.
Added by Martin Z.
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Step 1:** For the function \( f(z) = \frac{1}{2\sqrt{x^2 + y^2}} \), we have already found the real and imaginary parts as: \[ u(x, y) = \frac{x^2 - y^2}{(x^2 + y^2)^2} \] \[ v(x, y) = -\frac{2xy}{(x^2 + y^2)^2} \] ** Show more…
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