Population exponentially increasing question?

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Population exponentially increasing question?



A population of lions at the time of t years (t≥0) is increasing at a rate directly proportional to 1000 - P, where the constant proportionality is k. 

(a) If P(0) = 300, find P(t) in terms of t and k. 

(b) If P(2) = 400, find k 

(c) Find lim P(t). Explain its meaning in the context of the problem.



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