Question: An elk population has a variable population density(r)=2 ar elk/mi2where r is the distance in miles from the center of the territory and a is

An elk population has a variable population density(r)=2 ar elk/mi2where r is the distance in miles from the center of the territory and a is an unknown positive constant. Suppose there are 850 elk within 12 miles of the center.Find the number of elk, dP, in a circular slice a distance r from the center, with thickness dr.dP =On your own paper, write an integral for the total number of elk that live within 12 miles of the center. Compute your integral. Your answer will include the unknown constant a.P =What is the value of the unknown constant a such that there are 850 elk in a 12 mile radius? Be accurate to at least four decimal digits. Do not include units.a = elk/mi3

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