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1. The problem statement, all variables and given/known data

Find the image of S_{1},S_{2}under e^{z}.

S_{1}= {z=x+iy : 0 < y < [itex]\pi[/itex] }

S_{2}= {z=x+iy : x > 0, 0 < y < [itex]\pi[/itex] }

2. Relevant equations

w=e^{z}

w=[itex]\rho[/itex]e^{i[itex]\varphi[/itex]}

[itex]\rho[/itex]=e^{x}, [itex]\varphi[/itex]=y

3. The attempt at a solution

Did not know how to get started. I don't know how to use the above equations to help me. Thank you very very much!

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# Complex Variables - Mappings

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