Weight and Surface Area Animal physiologists have determined experimentally that the weight W (in kilograms) and the surface area S (in square meters) of a typical horse are related by the empirical equation S = 0.1 W 2 / 3 . How fast is the surface area of a horse increasing at a time when the horse weighs 350 kg and is gaining weight at the rate of 200 kg per year? [Hint: Use the chain rule]
Weight and Surface Area Animal physiologists have determined experimentally that the weight W (in kilograms) and the surface area S (in square meters) of a typical horse are related by the empirical equation S = 0.1 W 2 / 3 . How fast is the surface area of a horse increasing at a time when the horse weighs 350 kg and is gaining weight at the rate of 200 kg per year? [Hint: Use the chain rule]
Solution Summary: The author explains how the horse's weight and surface area are related by the empirical equation.
Weight and Surface Area Animal physiologists have determined experimentally that the weight
W
(in kilograms) and the surface area
S
(in square meters) of a typical horse are related by the empirical equation
S
=
0.1
W
2
/
3
. How fast is the surface area of a horse increasing at a time when the horse weighs
350
kg and is gaining weight at the rate of
200
kg per year? [Hint: Use the chain rule]
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