Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both inversely propor- tional to P. (a) Show that P() = (4kt + /Po)´. where k is a constant. (b) If Po = 100 and after 6 months there are 169 fish in the lake, how many will there be after 1 year?

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A: From the given data, dPdt=βt-δtPβ=0δ=kPP0=100,000P20=1984Px=0x=?

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A: This question is related to population growth, We will solve it using integration.

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A: GIVEN: k = 0.03

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Q: The human population x of a certain island satisfies the logistic law dx/dt = kx – Ax² with k = 0.03…

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