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16. Consider the function f(x + iy) = y3 ix. Find the subsets of C, where the function f is | (a) continuous; (b)

16. Consider the function f(x + iy) = y3 ix. Find the subsets of C, where the function f is | (a) continuous; (b) differentiable; (c) analytic. Further determine f'(z) on the set where f is differentiable. Justify your answers.

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