The concentration of the bacteria, E-coli at a beach over a 24 hours period is recorded where x (parts per million (ppm)) is the concentration and t is the number of hours after 6 am. The concentration of the bacteria, x at time t is given by the function at X(t) 1 sin 20 1 + 10 10 12 a) Find the maximum and minimum concentration of the bacteria. (2 marks) b) Find the concentration of the bacteria at 3pm? (2 marks) c) Sketch the graph of the concentration of the bacteria for te (0,24] (2 marks d) At exactly what interval of time(s) within the 24 hours will the concentration be 8 ppm or exceed ppm? (3 marks) 8 1 1