Certain chemotherapy dosages depend on a patient's surface area. According to the Gehan and George model, S=0.02235h0.42246 0.51456, where h is the patient's height in centimeters, w is his or her weight in kilograms, and S is the approximation to his or her surface area in square meters. Joanne is 150 cm tall and weighs 50 kg. Use a differential to estimate how much her surface area changes after her weight decreases by 2 kg. Joanne's surface area changes by approximately (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
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Certain chemotherapy dosages depend on a patient's surface area. According to the Gehan and
George model, S = 0.02235h0.42246 0.51456, where h is the patient's height in centimeters, w is his or her
weight in kilograms, and S is the approximation to his or her surface area in square meters. Joanne is 150
cm tall and weighs 50 kg. Use a differential to estimate how much her surface area changes after her
weight decreases by 2 kg.
Joanne's surface area changes by approximately
(Round to five decimal places as needed.)
Transcribed Image Text:Certain chemotherapy dosages depend on a patient's surface area. According to the Gehan and George model, S = 0.02235h0.42246 0.51456, where h is the patient's height in centimeters, w is his or her weight in kilograms, and S is the approximation to his or her surface area in square meters. Joanne is 150 cm tall and weighs 50 kg. Use a differential to estimate how much her surface area changes after her weight decreases by 2 kg. Joanne's surface area changes by approximately (Round to five decimal places as needed.)
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