The inflow to a small reservoir during a storm may be described by the equations Q=1000(1-e^-kt) where Q= flow in cfs k= runoff rate = 1.0 per hour t = time in hours The outflow through the dam gates is held constant at 800 cfs. The initial volume of the reservoir is 10x10^6 cubic feet. Write the differential equation describing the rate of change in reservoir volume with time. Plot the volume of the reservoir versus time during the first 8 hours of the storm. At what time does the minimum volume occur? Does a maximum volume occur?