Question: Problem #8: A model for a certain population P(t) is given by the initial value problem dtdP=P(1041012P),P(0)=1000000 where t is measured in months. (a) What

Problem #8: A model for a certain population P(t) is given

Problem #8: A model for a certain population P(t) is given by the initial value problem dtdP=P(1041012P),P(0)=1000000 where t is measured in months. (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one eighth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.)

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