## Question

###### Consider the Dosage Formula y=(S/1.73 where y = child乫s dosage, a = the adult dosage, and S = the surface area of the body in square meters

Consider the Dosage Formula y=(S/1.73 where y = child乫s dosage, a = the adult dosage, and S = the surface area of the body in square meters. The Surface Area Formula is S(w,h)=0.0101w^(.425)*h^(.725) where S = the surface area of the body in square meters, w = the weight in pounds, and h = the height in inches.

a. Explain what Sw佪佪 represents in the problem and calculate the values of (150,48)Sw佪佪 and. (140,48)Sw佪佪.

b. Explain what ds/dw represents in the problem and calculate the values of ds/dw(150,48) and. ds/dw(140,48).

c. Create a chart for S over the intervals 100=<w=<200 and 35=<h=<72.

d. From the chart explain how to calculate ds/dw(150,48) and ds/dh(150,48)Sh佪佪.

e. Show how to calculate S佫 and then use Green乫s Theorem to evaluate 佺Pdw+Qdh over any path across the chart of numbers.(integral from a to b, in this case a=c and b=any path across the chart of numbers)

a. Explain what Sw佪佪 represents in the problem and calculate the values of (150,48)Sw佪佪 and. (140,48)Sw佪佪.

b. Explain what ds/dw represents in the problem and calculate the values of ds/dw(150,48) and. ds/dw(140,48).

c. Create a chart for S over the intervals 100=<w=<200 and 35=<h=<72.

d. From the chart explain how to calculate ds/dw(150,48) and ds/dh(150,48)Sh佪佪.

e. Show how to calculate S佫 and then use Green乫s Theorem to evaluate 佺Pdw+Qdh over any path across the chart of numbers.(integral from a to b, in this case a=c and b=any path across the chart of numbers)

## Answers

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