Chapter 9, Problem 29RE

To determine

To calculate: The total revenue to the nearest $\$100$ be changing $20$ months from now using the technology for the “For Geniuses” series of books that has been taking off since Duff in House first gained exclusive rights to the series $6$ months ago. Revenues from Precalculus for Geniuses are expected to follow the curve $R\left(t\right)=100,000+20,000e^{-0.05t}\sin \left[\frac{\pi }{6}\left(t-2\right)\right]$ dollars $0\le t\le 72$, where t is the time in months from now and $R\left(t\right)$ is the monthly revenue.