Exercise 40

A model for the surface area of a human body is given by
\[ S = 0.1091w^{0.425}h^{0.725} \]
where \(w\) is the weight (in pounds), \(h\) is the height (in inches), and \(S\) is measured in square feet. If the errors in measurement of \(w\) and \(h\) are at most 2%, use differentials to estimate the maximum percentage error in the calculated surface area.