The castle's gate is open 18 hours a day and must be guarded. Five knights are ordered to split each day’s guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.