a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their job and flush his from the bloodstream. Each hour some 7% of the antihistamine is cleaned out. (In truth, this depends on the age and health of the individual, 7% may be a little high but it is a reasonable number to use.) The model is given by A(t) = A.(0.93)' where Ao is the initial amount of antihistamine in the blood and t represents the time elapsed. (You should understand where this comes from.) %3D Use Excel to graph to the model (using Ao = 100%) and use this to estimate the time taken until 50% of the antihistamine is flushed from the body.
a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their job and flush his from the bloodstream. Each hour some 7% of the antihistamine is cleaned out. (In truth, this depends on the age and health of the individual, 7% may be a little high but it is a reasonable number to use.) The model is given by A(t) = A.(0.93)' where Ao is the initial amount of antihistamine in the blood and t represents the time elapsed. (You should understand where this comes from.) %3D Use Excel to graph to the model (using Ao = 100%) and use this to estimate the time taken until 50% of the antihistamine is flushed from the body.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their job and flush his
from the bloodstream. Each hour some 7% of the antihistamine is cleaned out. (In truth, this depends on the age
and health of the individual, 7% may be a little high but it is a reasonable number to use.) The model is given by
A(t) = Ao(0.93)' where Ag is the initial amount of antihistamine in the blood and t represents the time
elapsed. (You should understand where this comes from.)
Use Excel to graph to the model (using A, = 100%) and use this to estimate the time taken until 50% of the
antihistamine is flushed from the body.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
