Find the image of the following lines/curves y=(1/x) under the mapping f(z) = z^2. If possible, determine what shape does the image represent.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Find the image of the following lines/curves y=(1/x) under the mapping f(z) = z^2. If possible, determine what shape does the image represent.
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Step 1

Given y=1x fz=z2 

we know z = x+iy 

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