Prove that the function u = 3x²y + 2x² – y³ – 2y² is harmonic. Find a function v such that f(z) = u + iv is analytic. Is v harmonic? Justify your answer. Express f(z) in terms of z.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.