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The number of new businesses established in the US since 1990 can be modeled by the...

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Basic Math

The number of new businesses established in the US since1990 can be modeled by the functionNx=110.8x^3-5305.5x^2+76,701x+332,892 where x = 0 represents 1990and the domain is [0, 25].

  1. Use the First Derivative Test to determine the extrema of thefunction on the given domain. Classify as max/min andabsolute/relative. For what intervals does the functionincrease/decrease? Please label and interpret each answer in thecontext of this problem.

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