HL ?d//      $T  4T  ??DT,2T<  T  nT&\T  T  T  z T&>_, T"  <  , ,T   <T  + LT  \T.QlT  ,T  .T  T  T&;T  T&=Tp1alg What are the partial fraction decompositions(sum of terms of the forms  , ) for a) f(z)=  #\ b) f(z)=  @c) What are the values of   f(z)dz for the above choices of f(z)?2. Find  %\   bya) residual calculationb) by writing  P| =   | , ` log(z   + 1)Why are the results the same?c) Same question for    = log " (LA    iH(_Hn(z-a  ) i \i` k  0(L1E_Hnz  -z  ` 04` 2  ,(L1$P_Hnz  -1` 2  t=4   !.   \ 8Bz  =% |=2     !.    0 0!0z  <\0  (Lz dz$ P_Hnz   -1`  2   (Lz$_Hnz   -1`  T2 `01  `02  4MPd D`@dz` `2   d(Lz$ _Hnz   -1` `2