Calculate the required roots
Calculate the required roots. Express your answers in the (exact) form z=a+bi without trigonometric functions whenever possible and plot them in the complex plane the fourth roots of 2
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Suggest the complex function f(z) = ln(z). (a) Write f(z) as u + iv. (b) Show that f(z) satis es the Cauchy-Riemann relations. (c) Find df=dz by calculating along the real direction.
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