Chapter 6.5, Problem 40E

(a)

To determine

To graph: The function $f\left(t\right)=\frac{100\left(t^2+3t\right)}{{\left(t^2+3t+12\right)}^2}$ using the window $\left[-10,10\right]$ by $\left[-5,5\right]$.

(b)

To determine

To graph: The function $f\left(t\right)=\frac{100\left(t^2+3t\right)}{{\left(t^2+3t+12\right)}^2}$ on the window $\left[0,8\right]$ by $\left[0,5\right]$.

(c)

To determine

To find: The graph which is better to represent the change in productivity from part (a) or part (b)

(d)

To determine

To find: Whether the productivity is higher at $t=4$ or $t=8$.