Solve the problem.Suppose that the population of a certain city during a certain time period can be approximated by  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.

A. Between 2015 and 2045
B. Between 2010 and 2024
C. Between 2015 and 2038
D. Between 2010 and 2038


Answer: D

Mathematics

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Express the following logarithm as specified.ln (1/81) in terms of ln 3

A. -  ln 3
B. 4 ln 81
C. -4 ln 3
D.  ln 3

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Find all the second partial derivatives.z = 

A.  = -  =  ;   =  =  
B.  = -  =  ;   =  =  
C.  =  = - ;   =  =  
D.  = -  =  ;   =  =  

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Find the specified vector or scalar.v = 8i + 5j; Find .

A. -6 
B. 6i 
C. 6 
D. 6 

Mathematics

Solve the quadratic equation by completing the square.x2 + 4x = 3

A. {-2 ± }
B. {-2 ± 2}
C. {2 ± }
D. {-1 ± }

Mathematics