Solved: Body surface area One of several empirical

Chapter 12, Problem 60

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Body surface area One of several empirical formulas that relates the surface area S of a human body to the height h and weight w of the body is the Mosteller formula S1h, w2 = 1 60 1hw, where h is measured in centimeters, w is measured in kilograms, and S is measured in square meters. Suppose that h and w are functions of t. a. Find S_1t2. b. Show that the condition that the surface area remains constant as h and w change is wh_1t2 + hw_1t2 = 0. c. Show that part (b) implies that for constant surface area, h and w must be inversely related; that is, h = C>w, where C is a constant.

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