1. Let f(2) = where Vw = eLog w is the principal branch of the square root function. %3D (a) By considering branch cuts, explain why f is holomorphic on the region G = C\ {r €R:r<-1 or r2 1}. %3D (b) Which property of G ensures thatf has an antiderivative F on this set?

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: To find the area of the following region :-

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A: Solution is given below:

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A: This question is related to vector calculus solved in step 2.

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