Air at a free stream temperature of Too = 20°C is in parallel flow over a flat plate of length L = 5 m and temperature Ts = 90°C. However, obstacles placed in the flow intensify mixing with increasing distance x from the leading edge, and the spatial variation of temperatures measured in the boundary layer is correlated by an expression of the form T(°C) = 20 + 70 exp (-600xy), where x and y are in meters. Determine and plot the manner in which the local convection coefficient h varies with x. Evaluate the average convection coefficient h for the plate.