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The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in...

The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in hours. It is known that P(0)=700. (1) What is the carrying capacity of the model? (2) What is the size of the bacteria population when it is having is fastest growth?

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