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\noindent {\bf Problem statement} The Dubois \& Dubois formula
approximating body surface area (BSA) has been widely used since it was first published in 1916. The formula is 

$$\displaystyle{\rm BSA}={{{\rm weight}^{0.425}\cdot {\rm
height}^{0.725}}\over {139.2}}$$

\noindent where BSA, body surface area, is measured in square meters,
weight is measured in kilograms, and height is measured in
centimeters. BSA is very important in many medical and other ``human
factors'' applications (cooling, for example). Appropriate units with
explanations should accompany all of your answers in this problem.

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\noindent a) What is the BSA for a person whose weight is 83 kilograms
and whose height is 186.7 centimeters?

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\noindent b) If the person described in a) gained 1 kilogram, what
would be the rate of change of that person's BSA?

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\noindent c) If the person described in a) magically grew 1 centimeter
taller, what would be the rate of change of that person's BSA?

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\noindent d) Compute the change in the BSA for each of the situations
in b) and c). Which change is greater?

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