Complex Variables

Exercise 4.33 from Spivak's Calculus on Manifolds. (Attached).

For the definitions and theorems: http://www.strangebeautiful.com/other-texts/spivak-calc-manifolds.pdf
The exercise is on page 118-119. You can assume every result and exercise above it without proving it.

I'd appreciate details, like indicating when you use a theorem and the like.

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