hose r can fill an empty pool in 4/5 the time that hose s can empty a full pool. if they are both used at the same time with an empty pool, the pool will be filled in 20 hours. What is the rate of each

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.