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    Complex variables

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    Please specify your notation(if necessary) and explain clearly each step of your solution.
    Thank you very much.

    Sketch the region onto which the sector r ≤ 1, 0 ≤ θ ≤ π/4 is mapped by the transformation

    (a) ω = z2
    (b) ω = z3
    (c) ω = z4

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    Solution Summary

    This shows how to sketch a region with a given transformation.