3. (Analytic branches of multiple-valued functions) (a) Let w + Vw denote the principal branch. Describe the domain of analyticity of the function f(2) = Ve +I and find its derivative. (b) Let w+ Vw denote the principal branch. Describe the domain of analyticity of the function 9(2) = Vz2 – 4 and find its derivative. Is there a branch of vz2 – 4 which is analytic on C\[-2, 2]?

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