$(20$ points$)$ See Figure below. To prevent icing on a critical control surface, the fin on a drone must be kept at a constant temperature.

a$.$ What is the film temperature $K?$

b$.$ What is the heat flux $\frac{W}{m^2}$ required to sustain the fin $($surface$)$ temperature?

c$.$ What is the rate of heat $[$W$]$ required to sustain the fin $($surface$)$ temperature? Assume only a single fin side needs to be heated.

d$.$ If the time of flight is $63\mathrm{.}64$ s $,$ how much energy $[$ kJ $]$ is associated with sustaining the fin $($surface$)$ temperature?

e$.$ In order to conserve battery power associated with sustaining the fin $($surface$)$ temperature, for a drone flight of $14$ km $,$ is it better to increase or decrease the drone velocity by $10\%?$ Assume constant velocity for the entire flight.