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R F
R F asked in Science & MathematicsMathematics · 4 weeks ago

A population is modeled by a function P that satisfies the logistic differential equation (see attached picture).?

a) If P(0) = 3, what is lim (x-->inf) P(t)?

If P(0) = 20, what is lim (x-->inf) P(t)?

b) If P(0) = 3, for what value of P is the population growing the fastest?

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1 Answer

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  • rotchm
    Lv 7
    4 weeks ago

    Hint: Graph p/5 * (1-p/12). 

    Now, just interpret that curve, recalling that the vertical axis is p'.

    You must have seen how to interpret it, no? 

    At worst, solve the DE. 

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