t $=0.$ The resulting current i$($t$)$ for t $70$ is known to be $800$e$-25$tmA. a$)$ Replace the original capacitors with an equiva lent capacitor and find vo$($t$)$ for t $0.$ b$)$ Find v$1($t$)$ for t $0.$ c$)$ Find v$2($t$)$ for t $0.$ d$)$ How much energy is delivered to the black box in the time interval $0...$ t $6$ $?$ e$)$ How much energy was initially stored in the se ries capacitors? f$)$ How much energy is trapped in the ideal capac itors? g$)$ Show that the solutions for v$1$ and v$2$ agree with the answer obtained in $($f$).$