Chapter 11.1, Problem 99E

(a)

To determine

To calculate: The derivative $f\text{'}\left(x\right)$ and $f\text{'}\left(8\right)$ stating the units, where regression curve is given by $f\left(x\right)=3.55x^2-30.2x+81$ where, $f\left(x\right)$ is the number of manatees killed and x is the number of boats in hundreds of thousands which are registered in Florida dollars lies in the range $4.56\le x\le 8.5$. Also state the interpretation about the manatee death.

(b)

To determine

Whether the derivative $f\text{'}\left(x\right)$ is increasing or decreasing with increasing value of x where regression curve is given by $f\left(x\right)=3.55x^2-30.2x+81$ where, $f\left(x\right)$ is the number of manatees killed and x is the number of boats in hundreds of thousands which are registered in Florida dollars lies in the range $4.56\le x\le 8.5$.