Let P(t) represent the number of wolves in a population at time t years, when t>=0. The population P(t) is increasing at a rate directly proportional to 800 - P(t), where the constant of proportionality is k.(adsbygoogle = window.adsbygoogle || []).push({});

a) If P(0) = 500, find P(t) in terms of t and k.

b) If P(2) = 700, find k.

c) Find lim t -> x P(t)

I'm really not sure where to start with this question, and any help would be appreciated. It's an entrance exam our teacher got for us to practice on, so I suspect we may not have covered material on these types of questions yet.

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# Perplexing Calculus questions

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