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The injection of x milligram (mg) of a drug increases blood circulation c(x) in a specific organ which is described by the following function: c(x) = 0.02e-0.05x+* x: drug in mg, 0

The injection of x milligram (mg) of a drug increases blood circulation c(x) in a specific organ which is described by the following function: c(x) = 0.02e-0.05x+* x: drug in mg, 0

Advanced Engineering Mathematics
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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The injection of x milligram (mg) of a drug increases blood circulation c(x) in a specific organ which is described by the following function: c(x) = 0.02e-0.05x+* x: drug in mg, 0<x< 20 c) For what quantity of the drug is the blood circulation at maximum size? d) Calculate the elasticity ɛcx of c(x) in regard of x. For which quantity, beside x = 0 is it zero? What does this value mean? e) Show that the elasticity is for x = 5 mg at its maximum. What is its value there and what is the impact on blood circulation of an increase of 1% of drug at this point?
Transcribed Image Text:The injection of x milligram (mg) of a drug increases blood circulation c(x) in a specific organ which is described by the following function: c(x) = 0.02e-0.05x+* x: drug in mg, 0<x< 20 c) For what quantity of the drug is the blood circulation at maximum size? d) Calculate the elasticity ɛcx of c(x) in regard of x. For which quantity, beside x = 0 is it zero? What does this value mean? e) Show that the elasticity is for x = 5 mg at its maximum. What is its value there and what is the impact on blood circulation of an increase of 1% of drug at this point?
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