Chapter 4, Problem 44RE

(a)

To determine

To compute: The value of $I^{\prime }\left(t\right)$ and show that $I\left(t\right)$ is decreasing on the interval $\left(0,10\right)$.

(b)

To determine

To compute: The second derivative, $I^{″}\left(t\right)$ and further study the concavity of the graph of I.

(c)

To determine

To sketch: The graph of the function $I\left(t\right)$.

(d)

To determine

To explain: Interpret the results of $I\left(t\right)$.