Asked by Jake
For the transformation w=z^2, show that as z moves once round the circle centre O and radius 2, w moves twice round centre O radius 4.
I am okay finding the radius and centre of the locus but how do I show it moves twice roundfor w for z turning once.
See my other post. Transform to polar coordinates, you get a double angle in the transformation.
Thanks
I am okay finding the radius and centre of the locus but how do I show it moves twice roundfor w for z turning once.
See my other post. Transform to polar coordinates, you get a double angle in the transformation.
Thanks
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