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Suppose That the Population of a Certain City During a Certain

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Suppose that the population of a certain city during a certain time period can be approximated by P(x) =0.1x5+3.5x4+4000P ( x ) = - 0.1 x ^ { 5 } + 3.5 x ^ { 4 } + 4000 , where x is time in years since 2010. By sketching a graph of P(x) , estimate during what time period the population of the city would be increasing.


Definitions:

Branding

The process of creating a unique image, name, and identity for a product or service in the consumer's mind through marketing and distinctive design.

Nineteenth Century

The period from 1801 to 1900, characterized by industrialization, colonial expansion, and cultural changes.

Prison

A facility in which individuals who have been convicted of crimes are confined as a form of punishment and rehabilitation.

Punishment

The infliction or imposition of a penalty as retribution for an offense or wrongdoing.

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