$1$d conduction $($Incropera ch$.3,$ One$-$dimensional, Steady State Conduction$)$ Consider conduction along a copper wire. The length of the wire is L $=3\mathrm{.}0$ cm and the diameter is D $=3$ mm$.$ The wire is heated from one end. $($a$)$ Derive the equation for the temperature distribution at steady state along the axial direction of the copper wire. $($b$)$ Calculate the rate of heat transfer if the temperature difference along the wire is $10$C$.($kcopper $=390$ W$/$m$.$K$)$ Please use integration in part $($a$)$