You are assigned to monitor the operation of water tank for the ABC company during your internship placement. It is assumed that the water discharged from the tank is given by f(x) = ex-1 (A + B), - where x is the pressure applied in Pascal (Pa) and f(x) is the amount of water discharged in m³ from the tank per-hour. The constants A and B are determined by last two digits of your student's ID. For example: if the student ID is 123456. A = 6 and B = 5. However, if your last two digits are 00 or 01 or 10, use A = 2 and B = 3. a. b. C. d. Calculate the rate of water discharged when the pressure of 3 Pa is used. If the pressures inside the tank are gradually increased from 2 to 10 Pa for 8 hours, calculate the total volume of water discharge during that 8 hours. Starting with a step size h = 2 hours estimate Q2(a) and Q2(b) respectively with TWO (2) different numerical methods. Calculate the true percent relative error (+) in each estimate. Repeat the computation by reducing the value of h monotonically until the ε < 10%. Select the best numerical method and justify your answer. The company requested that the water discharged should be 50 m³ per-hour during the peak hours. By using numerical method, approximate the amount of pressure applied to the tank, accurate to 1 decimal places. [50 Marks]