Question: State the Cauchy-Riemann equations and demonstrate that they hold for the function given by f(z) = iz. Deduce that f is entire. Determine the

State the Cauchy-Riemann equations and demonstrate that they hold for the function

State the Cauchy-Riemann equations and demonstrate that they hold for the function given by f(z) = iz. Deduce that f is entire. Determine the points where the function g(z) = g(x + y) = x + y is complex differentiable. Is g holomorphic at any point? Taking u(x, y) = x, decide if there is a v(x, y) such that u + iv is entire. Calculate (-i). Find all solutions of z4+4= 0.

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