Problem $0\mathrm{.}11.$ Find the value $of$ the integral around the circle $|z-i|=2$ for the functions

$g(z)=\frac{1}{z^2+4}$ and $f(z)=\frac{1}{(z^2+4{)}^2}$

Problem $0\mathrm{.}12.a{\displaystyle \underset{C}{\overset{\phantom{}}{}}}\frac{z}{(z^2+9{)}^2}dz$ around the contour $C$:$|z-i|=3.$

$b{\displaystyle \underset{|z|=1}{\overset{\phantom{}}{}}}\frac{z^2}{z-4}dz$ and ${\displaystyle \underset{|z|=1}{\overset{\phantom{}}{}}}z{e}^{z}dz$