Compute N(8),N'(8), and N''(8)

Calculus
Tutor: None Selected Time limit: 1 Day

Jul 5th, 2015

Thank you for the opportunity to help you with your question!

N(8) = 0.00037*8^3-0.024*8^2+0.52*8+5.3 = 8.113

N'(t) = 0.00111t^2-0.0484t+0.52 

N'(8) = 0.2038

N''(t) = 0.00222t-0.0484 

N''(8) = -0.03064

in 1998, there are 8.113 million people receiving disability benefit, The rate of increase in number of people receiving disability benefit is 0.2038 million/year, the  increase in the rate of number  of people receiving disability benefit is -0.03064, thus it is slow down.  Which imply that in the short run the number of people receiving disability benefit is increasing and it might decrease in the long run 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 5th, 2015

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