Question: Problem #6: A model for a certain population P(t)is given by the initial value problemdPdt=P(10-3-10-12P),P(0)=50000000,where tis measured in months.(a) What is the limiting value of

Problem #6: A model for a certain population P(t)is given by the initial value problemdPdt=P(10-3-10-12P),P(0)=50000000,where tis 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 fifth of the limiting value in(a)?(Do not round any numbers for this part. You work should be all symbolic.)Problem #6(a):Problem #6(b):

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