Chapter 11.2, Problem 62E

Carbon dioxide emissions Using U.S. Department of Energy data for selected years from 2010 and projected to 2032, the millions of metric tons of carbon dioxide $\left(C{0}_2\right)$ emissions from biomass energy combustion in the United States can be modeled with the function

$E(t)=\frac{1310}{1+2.95e^{-0.0619t}}$ where t is the number of years past 2010.

(a) Find the function that models the rate of change of $E\left(t\right)$. Report this function as $E\text{'}\left(t\right)$ with 3 significant digits.

(b) Find and interpret $E\text{'}\left(15\right)$.