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1. Determine which of the following domains is simply connected. Justify your answer with a proof. (a) (3 points) z = x +iy E

1. Determine which of the following domains is simply connected. Justify your answer with a proof. (a) (3 points) z = x +iy E C|2| |y| 1} (c) (3 points) The domain of the function f(z) = cot z

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