Suppose U is a domain (i.e., open and connected) and f: U → C is a holomorphic function such that (†) Re(f(z)) = 7 for all z € U. (a) Using the Cauchy Riemann equations, or otherwise, show that f is a constant function. (b) Now suppose that we allow U to be disconnected (but still open). Give an example of U and f such that (†) holds but f is not a constant function.

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A: We will see the ans in next step

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A: Let us answer above questions