Blood Volume A formula proposed by Hurley for the red cell

Chapter , Problem 70A

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Blood Volume A formula proposed by Hurley for the red cell volume (RCV) in milliliters for males isRCV = 1486S2 ? 4106S + 4514,where S is the surface area (in square meters). A formula given by Pearson et al., isRCV = 1486S ? 825.Source: Journal of Nuclear Medicine and British Journal of Haematology.a. For the value of S which the RCV values given by the two formulas are closest, find the rate of change of RCV with respect to S for both formulas. What does this number represent?________________b. The formula for plasma volume for males given by Hurley isPV = 995e0.6085S,while the formula given by Pearson et al., isPV = 1578S,where PV is measured in milliliters and S in square meters. Find the value of S for which the PVvalues given by the two formulas are the closest. Then find the value of PV that each formula gives for this value of S.________________c. For the value of S found in part b, find the rate of change of PV with respect to S for both formulas. What does this number represent?________________d. Notice in parts a and c that both formulas give the same instantaneous rate of change at the value of S for which the function values are closest. Prove that if two functions f and g are differentiable and never cross but are closest together when x = x0, then f?(x0) = g?(x0).