Let h be measured in feet and p(h) be measured in psi (pounds per square inch, not the Greek letter ψ). Determine the units of each quantity.
Answer
The units of are the units of p multiplied by the units of h, or feet-psi.
The units of are the units of p' multiplied by the units of h:
The average value of p on [4, 7].
The average value of p on [4, 7] has the same units that p does: psi.
The quantity is the average value of p on [5, 10], which has the same units that p does: psi.
The quantity is the average value of p' on [5, 10], so it has the same units as p' does:
or psi per feet.
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