Year Millions Year Millions 2010 131 2026 157 2014 138 2030 161 2018 148 2035 165 2022 152 2040 170 Suppose the rate of change of the number of these employees can be modeled by dN 28.2 dt t + 5 where t is the number of years after 2005. (a) Use integration and the data point for 2010 to find the function N(t) that models the number of U.S. non-farm employees. Report pur model with 3 significant digit coefficients N(t) = 28.2 In 1+ 5+85.62 x (b) How well does the model from part (a) fit the data in the table? The model is a good fit.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.