(Solved): Electric Circuits, please show calculations and formulas clearly! i'm really struggling so diagrams ...

In the circuit of the given figure, $\begin{array}{l}v(t)=84e^{?1000t}\mathrm{V}\text{ for all }t>0\\ i(t)=10e^{?1000t}\mathrm{mA}\text{ for all }t>0.\end{array}$ Problem 07.013.a - Time constant of RL circuits Find $R,L$, and $?$. The value of $R$ is The value of $L$ is $\mathrm{k}?$. The value of $?$ is $\mathrm{H}$. ms. Problem 07.013 In the circuit of the given figure, $v(t)=84e^{?1000t}\mathrm{V}$ for all $t>0$ $i(t)=10e^{?1000t}\mathrm{mA}$ for all $t>0$. Problem 07.013.b - Energy dissipation in a source-free RL circuit Calculate the energy dissipated in the resistance for $0<t<0.5\mathrm{ms}$. The energy dissipated in the resistance for $0<t<0.5\mathrm{ms}$ is $?\mathrm{J}$.