SOLUTION: The population p of a small town in t years from now is predicted to be p(t)=35000 + 10000/(t+2)^3. In your own method estimate the population of the town in the long run.

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Question 1163020: The population p of a small town in t years from now is predicted to be p(t)=35000 + 10000/(t+2)^3. In your own method estimate the population of the town in the long run.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


"In the long run" means as the number of years from now, t, becomes very large.

As t becomes very large, the value of the expression goes to zero.

So in the long run the population of the town will be 35,000+0 = 35,000.

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