A model for the surface area of a human body is given by the function S- (w, h) = 0.1091WD 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) as -Select-- | (rounded to four decimal places) aw (180, 67) This is the rate at which -Select- increases with respect to | when an individual weighs | in. -Select- Ibs and has a height (b) as (rounded to three decimal Select- (180, 67) places) This is the rate at which -Select- increases with respect to Select when an individual weighs Ibs and has a height |in.

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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A model for the surface area of a human body is given by the function
S- (w, h) = 0.1091WD 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)
as
-Select--
| (rounded to four decimal places)
aw
(180, 67)
This is the rate at which -Select-
increases with respect to
| when an individual weighs
| in.
-Select-
Ibs and has a
height
(b)
as
(rounded to three decimal
Select-
(180, 67)
places)
This is the rate at which -Select-
increases with respect to
Select
when an individual weighs
Ibs and has a
height
|in.
Transcribed Image Text:A model for the surface area of a human body is given by the function S- (w, h) = 0.1091WD 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) as -Select-- | (rounded to four decimal places) aw (180, 67) This is the rate at which -Select- increases with respect to | when an individual weighs | in. -Select- Ibs and has a height (b) as (rounded to three decimal Select- (180, 67) places) This is the rate at which -Select- increases with respect to Select when an individual weighs Ibs and has a height |in.
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