The surface area of a human (in square meters) has been approximated by A = 0.024265h 0.3964 m0.5378, where h is the height (in cm) and m is the mass (in kg). (a) Find the approximate change in surface area if the mass changes from 77 kg to 78 kg, while the height remains 182 cm. Use the derivative to estimate the change (b) Find the approximate change in surface area when the height changes from 167 cm to 168 cm, while the mass remains at 75 kg. Use the derivative to estimate th change. (a) Differentiate A(m,h) with respect to m to find A (m,h). д A (m,h)=- (0.024265h0.3964 m0.5378) = am (Round to five decimal places as needed.)
The surface area of a human (in square meters) has been approximated by A = 0.024265h 0.3964 m0.5378, where h is the height (in cm) and m is the mass (in kg). (a) Find the approximate change in surface area if the mass changes from 77 kg to 78 kg, while the height remains 182 cm. Use the derivative to estimate the change (b) Find the approximate change in surface area when the height changes from 167 cm to 168 cm, while the mass remains at 75 kg. Use the derivative to estimate th change. (a) Differentiate A(m,h) with respect to m to find A (m,h). д A (m,h)=- (0.024265h0.3964 m0.5378) = am (Round to five decimal places as needed.)
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:The surface area of a human (in square meters) has been approximated by A = 0.024265h0.3964 m0.5378, where h is the height (in cm) and m is the mass (in kg).
(a) Find the approximate change in surface area if the mass changes from 77 kg to 78 kg, while the height remains 182 cm. Use the derivative to estimate the change.
(b) Find the approximate change in surface area when the height changes from 167 cm to 168 cm, while the mass remains at 75 kg. Use the derivative to estimate the
change.
(a) Differentiate A(m,h) with respect to m to find A(m,h).
д
Am(m,h):
(0.024265h0.3964 m0.5378) =
əm
(Round to five decimal places as needed.)
=
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