Fish harvesting A fish hatchery has 500 fish at t = 0,

Chapter , Problem 40

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Fish harvesting A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b 7 0 fish/year. The fish population is modeled by the initial value problem y_1t2 = 0.01y - b, y102 = 500, 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/year. Describe the solution. c. Graph the solution in the case that b = 60 fish/year. Describe the solution.

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