Chapter 12.3, Problem 64E

(a)

To determine

To calculate: The monthly inflation rate in July $2005$ $\left(t=10\right)$ for the curve $I\left(t\right)=-0.005t^3+0.12t^2-0.01t+190$ $\left(0\le t\le 14\right)$.

(b)

To determine

Whether inflation rate slowing or speeding in July $2005$ for the curve $I\left(t\right)=-0.005t^3+0.12t^2-0.01t+190$ for $\left(0\le t\le 14\right)$.

(c)

To determine

To calculate: The time when inflation was speeding up and the time when the inflation was slowing.