a flat plate with Length L$=5$m transfer heat to air which is flowing above it$.$the temperature profile of the air was expermentally measured and found to be T$($C$)=20+70$e$^-600$xy

a$)$ what are the temperature at the surface of the board

A flat plate with length $L=5m$ transfers heat to the air which is flowing above it$.$ The temperature profile of the air was experimentally measured and found to be $T(C)=20+70e^{-600xy}($where $x,y$ are in units of $m).$

a$)$ What are the temperatures at the surface of the board $(T_s)$ and far away from the board $(T_{})$

b$)$ Write an expression for the local heat transfer coefficient $(h_x)$ as a function of x $.$

c$)$ Find the average heat transfer coefficient over the board

d$)$ Find the average heat flux removed from the board

e$)$ Calculate the average Nusselt number

f$)$ Experimentally it was determined that the drag force is $32$ N $.$ Use the Modified Reynolds analogy to recalculate the average heat flux from part d $.$ The velocity of the air is $20\frac{m}{s}$