$[40$ points$]$ Pictured at right is a circuit consisting of $6$

resistors and $3$ batteries. Suppose the resistors are given

by R$\_(1)=10\backslash$Omega $.$R$\_(2)=20\backslash$Omega $,$R$\_(3)=30\backslash$Omega $,$R$\_(4)=40\backslash$Omega $,$R$\_(5)=50\backslash$Omega $,$

and R$\_(6)=60\backslash$Omega $.$ The batteries are given by $\backslash$epsi $\_(1)=12$V$,\backslash$epsi $\_(2)=9$V$,$

and $\backslash$epsi $\_(3)=18$V$.$

aR$\_(5).$ How does this affect the

currents in the circuit at t$=0$ s$?$ What are the magnitude and directions of the currents in the

circuit if it is let to sit a very long time? What is the charge on this capacitor when it is fully

charged?

$($Note: the power you should expect to find in parts b and c should be $3\mathrm{.}883$ W $.)$

PLEASE BE SPECIFIC WITH THE DIRECTIONS AND PART D$!!!$