Math 3301Homework Set 310 PointsFor these problems you MUST set up and solve the appropriate IVP(s) in order to receive any credit for the problem. Any decimals must be to at least the 4thdecimal place. Modeling, Part II1.A population of rabbits in a field grows at a rate proportional to its population. There are originally 50 rabbits in the field and in the absence of any outside factors the population will triple in 3 months time (assume 4 weeks/month). Each week there is a net migration of 7 rabbits into the field and predators eat 9 fish. Will the rabbits survive and take over the world? If not when do they die out? 2.A 75 kg person jumps out of an air plane that is 800 meters in the air with an initial velocity of 2 m/sec downward. Initially the air resistance is given by 10vand the person free falls until he reaches a velocity of 30 m/sec and then opens a parachute that increases the air resistance to 30
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This note was uploaded on 03/13/2009 for the course MATH 2171 taught by Professor Deng during the Spring '08 term at UNC Charlotte.