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
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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Question
91
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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