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The region, D, defined by 1 <|z|<2 and 0 < Arg(z)< π/2. What is the image...

The region, D, defined by 1 <|z|<2 and 0 < Arg(z)< π/2.

What is the image of D under the map f(z) = z2 , g(z) = z3, and h(z)=1/z . Draw the picture of the images.

Hint: Writing z = reiθ in polar form makes thing easier.

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