Problem $2\mathrm{.}4$: $(10$ points$)$

A$.$ The waveform of the current through an initially uncharged $4\mathrm{.}0$ mF capacitor is shown in Fig. $2\mathrm{.}4$ A $.$ Determine and carefully sketch and label the voltage $v(t)$ across and the energy $W(t)$ delivered to the capacitor for $t0.$ Show your work in detail.

Fig. $2\mathrm{.}4$A

B$.$ For the dc circuit shown in Fig $2\mathrm{.}4$ B$,$ find $v_C$ and $i_L.$ Hence, determine the energy stored in the inductor and the energy stored in the capacitor.