Consider the Dosage Formula y=(S/1.73 where y = childfs 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.

Question

Consider the Dosage Formula y=(S/1.73 where y = childfs 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 ds/dw represents in the problem and calculate the values of ds/dw(150,48) and ds/dw(140,48). 
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). 
e. Show how to calculate Del S and then use Greenfs Theorem to evaluate the integral Pdw+Qdh from c to 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)