A model for the surface area of a human body is given by the function S=f(w, h) 0.1091w0.425,0.725 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. (a) x ft2/lb (rounded to four decimal places) body surface area ✔✔✔ (b) as (170, 68)= 0.0088 aw This is the rate at which as ah (170, 68)= 0.017 increases with respect to weight x ft2/in (rounded to three decimal places) This is the rate at which body surface area y increases with respect to height ✓ ✓ when an individual weighs 170 J. when an individual weighe 170 Ib and has a height 68 Ih and has a height 68 in. in
A model for the surface area of a human body is given by the function S=f(w, h) 0.1091w0.425,0.725 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. (a) x ft2/lb (rounded to four decimal places) body surface area ✔✔✔ (b) as (170, 68)= 0.0088 aw This is the rate at which as ah (170, 68)= 0.017 increases with respect to weight x ft2/in (rounded to three decimal places) This is the rate at which body surface area y increases with respect to height ✓ ✓ when an individual weighs 170 J. when an individual weighe 170 Ib and has a height 68 Ih and has a height 68 in. in
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A model for the surface area of a human body is given by the function
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.
(a)
X ft2/lb (rounded to four decimal places)
body surface area
(b)
as (170, 68) = 0.0088
მა
Əw
This is the rate at which
მა
-(170, 68)= 0.017
ah
This is the rate at which
X ft²/in (rounded
body surface area ✓
increases with respect to weight
to three decimal places)
increases with respect to height
when an individual weighs 170
when an individual weighs 170
lb and has a height 68
lb and has a height 68
in.
in.
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