For each function, list the intervals on which the function is in- creasing, the intervals on which it is decreasing, and the location of all local extrema. (See Examples ] and 3.)Find the intervals on which each function is increasing or decreas- ing. (See Example 2.)2 - 4x + 215. fu 2 3+ 12r + 5Determine the location of each local extremum of the function. (See Examples 4-7.)21 23. /(x) + 5x + 3 2In Exercises 29-40, use the first-derivative test to determine the location of each local extremum and the value of the function at this extremum. (See Examples 5-7.)49. Social Science The graph shows the average number of 91 1 calls for police service for the Cleveland Police Department during the 24-hour day, with x = 0 corresponding to the hour 12:00 to 12:59 A.M.* 100 Average number of 91 1 calls 0 2 4 6 8 10 12 14 16 18 20 22 24 Time of day (hour) (a) List the intervals on which the average number of 911 calls is increasing. (b) List the intervals on which the average number of 911 calls is decreasing. (c) List the times of day at which this function has a local maxi- mum or minimum.57. Natural Science The microbe concentration B(x), in appropriate units, of Lake Tom depends approximately on the oxygen concentration x, again in appropriate units, according to the function B(x)=x - 72 - 160r + 1800 (0 5 x 5 20). (a) Find the oxygen concentration that will lead to the minimum microbe concentration. (b) What is the minimum microbe concentration?65. Social Science A group of researchers found that people prefer training films of moderate length: shorter films contain too little information, while longer films are boring. For a training film on the care of exotic birds, the researchers deter- mined that the ratings people gave for the film could be approximated by 20r RIO 1 + 100 where r is the length of the film (in minutes). Find the film length that received the highest rating