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(c) It is the year 2020 and the sea around OZLAND is teeming with barramundi fish. Denote by q(t) the number of tonnes of barramundi

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(c) It is the year 2020 and the sea around OZLAND is teeming with barramundi fish. Denote by q(t) the number of tonnes of barramundi fish living in the sea t months after January 1, 2020. Marine scientists have estimated that on 1/1/2020, there were 20,000 tonnes of barramundi fish in the sea. They have also determined that when no barramundi fishing takes place, q(t) increases at a rate proportional to the difference between q(t) and an upper limit of 200,000 tonnes. Assume that no barramundi fishing is allowed. A survey leads the marine scientists to estimate that there were 22,000 tonnes of the fish one month after 1/1/2020. If the estimates are correct, how many tonnes of the fish will there be in the sea, rounded to the nearest tonne, 3 months after 1/1/2020? (4 marks)

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