19. The initial mass of a certain species of fish is 7

Chapter 3, Problem 19E

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QUESTION:

Problem 19E

Problem

19. The initial mass of a certain species of fish is 7 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 2/yr. However, commercial fishing removes fish mass at a constant rate of 15 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?

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QUESTION:

Problem 19E

Problem

19. The initial mass of a certain species of fish is 7 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 2/yr. However, commercial fishing removes fish mass at a constant rate of 15 million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?

ANSWER:

Solution:

Step 1:

In this problem we need to determine when will all the fish be gone .If the fishing rate is changed

so that the mass of fish remains constant,what should that rate be.

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