Chapter 13.7, Problem 49E

(a)

To determine

To calculate: The value of the integral ${\displaystyle {\int }_0^{b}500t{e}^{-0.03\left(b-t\right)}dt}$.

(b)

To determine

To calculate: The amount of waste that will accumulate in the long run if the amount of radioactive waste that will accumulate in $b$ years is given by ${\displaystyle {\int }_0^{b}500t{e}^{-0.03\left(b-t\right)}dt}$.