The following table shows the number of U.S. non-farm employees N (in millions) for selected years from 2010 and projected to 2040. Suppose the rate of change of the number of these employees can be modeled by

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 your model with 3 significant digit coefficients.

(b) How well does the model from part (a) fit the data in the table?

(c) Use the reported model from part (a) to predict the number of U.S. non-farm employees in 2020.

Transcribed Image Text:

dN 28.2 dt t + 5 ||