Solved: Fish harvesting A fish hatchery has 500 fish at

Chapter 7, Problem 30

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Fish harvesting A fish hatchery has 500 fish at time t = 0, when harvesting begins at a rate of b fish>yr, where b 7 0. The fish population is modeled by the initial value problem y _1t2 = 0.1y - b, y102 = 500 for t 0, where t is measured in years. a. Find the fish population for t 0 in terms of the harvesting rate b. b. Graph the solution in the case that b = 40 fish>yr. Describe the solution. c. Graph the solution in the case that b = 60 fish>yr. Describe the solution.

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