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(1) Find the image of the circle $left|z+frac{i}{z} ight|=frac{1}{2}$ undes The function $w=frac{1}{z^{2}}$. () Find the area $f(2)=log left(e^{z}+1 ight) function is analitic and calculate

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(1) Find the image of the circle $\left|z+\frac{i}{z} ight|=\frac{1}{2}$ undes The function $w=\frac{1}{z^{2}}$. () Find the area $f(2)=\log \left(e^{z}+1 ight) function is analitic and calculate the deriuative. SP.SD. 321

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