Chapter 6.2, Problem 51E

(a)

To determine

To calculate: The value of $\frac{\partial S}{\partial h}$. The Mosteller formula for approximating the surface area, S of a human is, $S=\frac{\sqrt{hw}}{60}$. Here, h is the person’s height in centimeters and w is the person’s weight in kilograms.

(b)

To determine

To calculate: The value of $\frac{\partial S}{\partial w}$. The Mosteller formula for approximating the surface area, S of a human is, $S=\frac{\sqrt{hw}}{60}$. Here, h is the person’s height in centimeters and w is the person’s weight in kilograms.

(c)

To determine

To calculate: The change in S due to a change in w when h is constant is approximately. Use the formula $\Delta S\approx \frac{\partial S}{\partial w}\Delta w$ to calculate the approximate the change in someone’s surface area given that the person is 170 cm tall, weight 80 kg, and loses 2 kg.