Question 6. A long, heavy rain fills a lake until the dam that controls the lake bursts, and water begins to flood out of the dam. The rate at which water is entering/exiting the lake is modeled by v(t) = -t' In(t) where t is the time (in days) since the storm began and v is the flow of water (in km per day). If the lake held 5 km of water before the storm, find the new volume of the lake after 36 hours