Answer
See explanation.
Work Step by Step
(a) By theorem $5.6 .4,$ the integral results in the change in the child's height between 0 and 10 years. Its units are thus in inches.
(b) By theorem $5.6 .4,$ the balloon radius changes between 1 and 2 seconds. Its units are thus in cm.
(c) By theorem $5.6 .4,$ Integration represents changing the speed of sound between $32^{\circ} \mathrm{F}$ and $100^{\circ} \mathrm{F}$. Its units are then in $\mathrm{ft} / \mathrm{s}$.
(d) Integration represents a change of position between $t_{2}$ and $t_{1}$ seconds. Its units are then in $\mathrm{cm}$.
