Problem $2.$ A $2$ mF capacitor is charged to $10$ V at $t=0sec$ and the subsequent current into the capacitor's positive terminal is given by:

$i(t)=2\mathrm{.}4e^{-4t},A,t(sec)0$

What is the initial stored energy in the capacitor?

Find an expression for the voltage across the capacitor as a function of time.

What is the final voltage in the inductor?

You must circle your answers to get credit. $(5$ pts$.)$