(a) A cool fluid flows over a flat plate heated to a uniform temperature over its entire length L. Show that the average heat transfer coefficient can be found by integrating the local heat transfer coefficient over the length of the plate: L 1M hx dx = 2hx=L where hx-L is the local heat transfer coefficient evaluated at the end of the plate. (b) Air flows over a flat plate at a freestream velocity of 2 m/s and a freestream temperature of 20C. The plate is heated to a uniform temperature of 60C over its entire length (L= 40 cm). Using the result found in (a), determine the heat transfer rate from the plate if the width of the plate is 1.0 m.