An oil tanker runs aground and spills oil into the ocean. The crew were unable to measure how much oil was lost, but were able to measure the change in the depth in of oil in the tank with respect to time as dh_ 3 E _ _W h. 17' meters per hour. Hopefully you recognise this sort of differential equation by now. Solve this differential equation using the condition that the initial height is 27. (Meaning that when t = U, h. = 27.} hi: @. According to this equation; the tanker will leak oil until the height remaining in the tank is @ D meters. This will occurafter @ a hours {to the nearest hour). Suppose the oil leak was stopped after 32 hours. Find the height of the oil remaining in the tanker. Height remaining in the tanker = Q B {to the nearest metre). Sometimes the range of validity of a differential equation must be considered. For example; according to this equation, 400 1p" 10 3 the amount of oil in the tanker after hours goes back up to @ D (to the nearest metre)