In the figure $E_1=5\mathrm{.}97V,E_2=11\mathrm{.}0V,R_1=104,R_2=187,$ and $R_3=319.$ One point of the circuit is grounded $)=(0.$ What are the $($a$)$ size and $($b$)$ direction $($up or down$)$ of the current through resistance $1,$ the $($c$)$ size and $($d$)$ direction $($left or right$)$ of the current through resistance $2,$ and the $($e$)$ size and $($f$)$ direction of the current through resistance $3?($g$)$ What is the electric potential at point $A?$