Apopulation of glasswing butterflies exhibits logistic growth. the carrying capacity of the population is 200 butterflies, and rmax, the maximum per capita growth rate, of the population is 0.10 butterflies/(butterflies •month). calculate the maximum population growth rate for the population if the maximum growth occurs when n= k/2. give your answer to the nearest tenth.
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butterflies/month 
![\frac{dN}{dt} = rN[1-\frac{N}{K}]\\\frac{dN}{dt} = (0.1)(100)[1-\frac{100}{200}]\\\frac{dN}{dt} = (0.1)(100)(0.5)\\\frac{dN}{dt} = 5](/tpl/images/0341/4733/8e36e.png)
butterflies/month 
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Apopulation of glasswing butterflies exhibits logistic growth. the carrying capacity of the populati...
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