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Unformatted text preview: y xy x y 8. Find the orthogonal trajectories of the family of curves x ke y= . 9. Assume that the rate of growth of a population of fruit flies is proportional to the size of the population at each instant of time. If 50 fruit flies are present initially and 100 are present after 3 days, how many will be present after 15 days? 10. A tank contains 100 liters of brine with 10 kg of dissolved salt. Pure water enters the tank at a rate of 5 liters per minute. The wellmixed solution drains from the tank at the same rate. How much salt is in the tank after 10 minutes? 11. Suppose that an object has an initial temperature of 250° F and that after one hour its temperature is 200° F. Assuming that the surrounding air is kept at a constant temperature of 72° F, find a model for the temperature T of the object at time t ....
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 Fall '09
 L. OLDEWURTEL
 Page Points, Castroconde Exam

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