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Qn 1. Determine whether the function f(z) = z2 is differentiable in C. [5] Qn 2. Investigate the Cauchy-Riemann equations for the function f(2)

Qn 1. Determine whether the function f(z) = z2 is differentiable in C. [5] Qn 2. Investigate the Cauchy-Riemann equations for the function f(2) = e+iy in C. [6] 2.xy x2 + y? re" e C\ {0}, and investigate for this function the polar form of the Cauchy-Riemann Qn 3. Express the function f(2) +i(x y) in polar form, where z = x+iy = equations at z, namely: 1 Ur = -vo, Ug = -rvr, for r + 0. [10]

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