Chapter 6.2, Problem 52E

(a)

To determine

To calculate: The value of $\frac{\partial S}{\partial h}$. The Haycock formula for approximating the surface area, S of a human is, $S=0.024265\left(h^{0.3964}\right)\left(w^{0.5378}\right)$. 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 $\frac{\partial S}{\partial w}$. Haycock formula for approximating the surface area, S of a human is, $S=0.024265\left(h^{0.3964}\right)\left(w^{0.5378}\right)$. 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. 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, weighs 80 kg, and loses 2 kg.