A method sometimes used by pediatricians to calculate the dosage of medicine for children is based on the child's surface area. If a denotes the adult dosage (in milligrams) and if S is the child's surface area (in square meters), then the child's dosage is given byD(S) = Sa1.7.(a) Show that D is a linear function of S.Hint: Think of D(S) as having the form D(S) = mS + b. What is the slope m and the y-intercept b?m = b = (b) If the adult dose of a drug is 450 mg, how much should a child whose surface area is 0.4 m2 receive? (Round your answer to two decimal places.) mg

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Answered: A method sometimes used by…

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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A method sometimes used by pediatricians to calculate the dosage of medicine for children is based on the child's surface area. If a denotes the adult dosage (in milligrams) and if S is the child's surface area (in square meters), then the child's dosage is given by

D(S) =

1.7

(a) Show that D is a linear function of S.
Hint: Think of D(S) as having the form

D(S) = mS + b.

What is the slope m and the y-intercept b?

m	=
b	=

(b) If the adult dose of a drug is 450 mg, how much should a child whose surface area is 0.4 m² receive? (Round your answer to two decimal places.)
mg

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