Consider the below wave function and answer the following questions. f(t)=cos(π.12t)+cos(π.10t) i)graph the beat function for this wave. ii) what is the beat frequency? iii)calculate the proper sampling rate for this wave. iv) calculate the time intervals between the samples.

Air at a pressure of 1atm and a temperature of 40 c is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 120 c. the plate has a length of 0.40m (in the flow direction) and a width of 0.15m. the reynolds number based on the plate length is 50, 000. what is the rate of heat transfer from the plate to the air? if the free stream velocity of the air is doubled and the pressure is increased to 10 atm what is the rate of heat transfer?