In a medium with a constant temperature $T_{-}s,$ a fin with a constant cross$-$sectional area A$,$ perimeter P $,$ length L and heat conduction coefficient k is placed. Derive the equation for the temperature distribution along the fin by selecting an infinitesimal element. Consider that the base temperature of the fin is known and that there is a convective heat transfer at the fin tip. Implement these boundary conditions to solve the equation that you derived $($do not solve the equation$).$ Discuss the conditions that maket he tip temperature less, equal, or higher than the ambient temperature. $(30$pts$)$