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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1987b51d-5dd7-445b-a4b3-6a0d4a49e527%2F87a0ffe2-c5e8-4362-8db5-bb744bec2067%2Fb9hqv9i_processed.jpeg&w=3840&q=75)
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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