NOTE: I am having the most problems doing the inverse LaPlace. I just have no idea where the angle even came from. saying that I mostly need a guide to the inverse laplace. Also I$\text{'}$m pretty sure part a is wrong in my answer. I think it was close enough so they gave it to me$.$ I did it again and got

Find V$\_($o$)$ in the circuit.

Express your answer in volt$-$seconds in terms of s$,$ where s is in radians per second. Express the coefficients using three significant figures.

In the circuit shown in $($Figure $1)$ the initial voltage on the capacitor is $72$ V

positive at the lower terminal and the switch is closed at t$=0.$

Figure

Correct

Part B

Choose the correct expression for v$\_($o$)$ in the circuit.

v$\_($o$)($t$)=[240+650$e$^(-700$t$)$cos$(1200$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240+325$e$^(-700$t$)$cos$(1200$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240-650$e$^(-700$t$)$cos$(2400$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240-325$e$^(-700$t$)$cos$(2400$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240-325$e$^(-700$t$)$cos$(1200$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240-650$e$^(-700$t$)$cos$(1200$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240+325$e$^(-700$t$)$cos$(2400$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V

v$\_($o$)($t$)=[240+650$e$^(-700$t$)$cos$(2400$t$+163\mathrm{.}74\backslash$deg $)]$u$($t$)$V