Body surface area A typical male's body surface area S in

Chapter 3, Problem 26E

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QUESTION:

Problem 26E

Body surface area A typical male's body surface area S in square meters is often modeled by the formula  where h is the height in cm, and w the weight in kg, of the person. Fine the rate of change of body surface area with respect to weight for males of constant height h = 180 cm (roughly 5’9”). Does S increase more rapidly with respect to weight at lower or higher body weights? Explain,

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QUESTION:

Problem 26E

Body surface area A typical male's body surface area S in square meters is often modeled by the formula  where h is the height in cm, and w the weight in kg, of the person. Fine the rate of change of body surface area with respect to weight for males of constant height h = 180 cm (roughly 5’9”). Does S increase more rapidly with respect to weight at lower or higher body weights? Explain,

ANSWER:

Solution:

Step 1:

In this question we have to find  the rate of change of body surface area with respect to weight for males of constant height h = 180 cm. Also compare the rate change of surface area at lower and higher body weights.

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