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Question: A population, P, in a restricted environment may grow with time, t, according to the logistic function
P = L 1 + Ce-kt
where L is called the carrying capacity and L, C and k are positive constants.
(a) Find
limt→∞ P
Explain why L is called the carrying capacity.
(b) Using a computer algebra system, show that the graph of P has an inflection point at P = L/2.
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A least squares regression line.
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Find the values of a and b for the curve
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