New ton’s method seeks to approximate a solution f(x) = 0 that starts with an initial approximation x0and successively defines a sequence
59. [T] A lake initially contains 2000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 6% each month. However, factoring in all causes, 150 fish ate lost each month.
a. Explain why the fish population after ii months is modeled by Pn= 1 .06P n— — 150 with P0= 2000.
b. How many fish will be in the pond after one year?

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Calculus Volume 2
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