Week 16-17 Application of DE of Order One Name: Section: 7. A tank originally contains 100 gals of fresh water. At time t=0, a solution containing 0.20lb of salt per gallon begins to flow into the tank at rate of 3gal/min and the well-stirred mixture flows out of the tank at the same rate. a. How much salt is in the tank after 10 minutes? emill to noitonul is as b. Does the amount of salt approach a limiting value as time increases? If so, what is this limiting value and what is the limiting concentration? oms er 8. A tank has pure water flowing into it at 10 liter/minute. The contents of the tank are kept thoroughly mixed, and the contents flow out at 10 liter/minute. Salt is added to the tank at the rate of 0.1 kg/minute. Initially, the tank contains 10kg of salt in 100 liters of water. How much salt is in the tank after 30 minutes? Week 16-17 Application of DE of Order One Name: Section: 5. A bacterial population is known to have a logistic growth pattern with initial population 1000 and an equilibrium population of 10,000. A count shows that at the end of 1 hr. there are 2000 bacteria present. Determine the population as a function of time. 6. In a culture of yeast, the amount of active ferment grows at a rate proportional to the amount present. If the amount doubles in 1 hour, how many times the original amount may be anticipated at the end of 2.75hours?