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) = Sa 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 =
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) = Sa 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 =
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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Question
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) =
.
Sa |
1.7 |
(a) Show that D is a linear function of S.
Hint: Think of D(S) as having the form
(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
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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