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  3. 4 consider the subset of the complex plane given by...

Question: 4 consider the subset of the complex plane given by...

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(4) Consider the subset of the complex plane given by H = (z E C Re(z) > D (a) Sketch the region H. (c) Is H open, closed, or neither? (d) Plot the points z and z--1. Argue using distances in the complex plane that if 2EH, then罸lies in the unit disk D = {w E C : |w| < 1). (e) What is the image of the imaginary axis under the apH 2+1

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