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

label Calculus
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Jul 5th, 2015

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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 


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Jul 5th, 2015

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