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91. A model for the surface area of a human body is given by the function S = f(w, h) = 0.1091w0.4250.725 where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. Calculate and interpret the partial derivatives. as (a) (160, 70) dw (b) as dh (160, 70)

91. A model for the surface area of a human body is given by the function S = f(w, h) = 0.1091w0.4250.725 where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. Calculate and interpret the partial derivatives. as (a) (160, 70) dw (b) as dh (160, 70)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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h d S- (a) 90. The wind-chill index is modeled by the function W 13.12 + 0.6215T - 11.37v0.16 +0.3965Tv0.16 where T is the temperature (°C) and v is the wind speed (km/h). When T = -15°C and v= 30 km/h, by how much would you expect the apparent temperature W to drop if the actual temperature decreases by 1°C? What if the wind speed increases by 1 km/h? 91. A model for the surface area of a human body is given by the function a əs dw T S = f(w, h) = 0.1091w0.425h0.725 where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. Calculate and interpret the partial derivatives. -(160, 70) ƏT ƏT mR P(v. as (b) (160, 70) dh 92. One of Poiseuille's laws states that the resistance of blood flow- ing through an artery is R=C -/-/1 where L and r are the length and radius of the artery and Cis a positive constant determined by the viscosity of the blood. Calculate R/L and R/or and interpret them. 0 93. In the project on page 344 we expressed the power needed by a bird during its flapping mode as B(mg/x)²
Transcribed Image Text:h d S- (a) 90. The wind-chill index is modeled by the function W 13.12 + 0.6215T - 11.37v0.16 +0.3965Tv0.16 where T is the temperature (°C) and v is the wind speed (km/h). When T = -15°C and v= 30 km/h, by how much would you expect the apparent temperature W to drop if the actual temperature decreases by 1°C? What if the wind speed increases by 1 km/h? 91. A model for the surface area of a human body is given by the function a əs dw T S = f(w, h) = 0.1091w0.425h0.725 where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. Calculate and interpret the partial derivatives. -(160, 70) ƏT ƏT mR P(v. as (b) (160, 70) dh 92. One of Poiseuille's laws states that the resistance of blood flow- ing through an artery is R=C -/-/1 where L and r are the length and radius of the artery and Cis a positive constant determined by the viscosity of the blood. Calculate R/L and R/or and interpret them. 0 93. In the project on page 344 we expressed the power needed by a bird during its flapping mode as B(mg/x)²
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