Hi

I need a help in solving the following problem. the problem says: find the image of the unit circle |z|=1, under the mapping w=2z+z^2.

Thanks

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- March 10th 2011, 01:25 AMmia25Mapping
Hi

I need a help in solving the following problem. the problem says: find the image of the unit circle |z|=1, under the mapping w=2z+z^2.

Thanks - March 10th 2011, 02:35 AMmohammadfawaz
Given a point on the unit circle, it will have the form where . Have: .

This means that the real part is and the imaginary part is . These are the parametric equations of a cardioid. You can take several values of t and try to draw it.

Cardioid - Wikipedia, the free encyclopedia - March 10th 2011, 02:52 AMmia25
Thanks Mr. Fawwaz I have reached x and y but I did not know how to proceed.