that the dynamics of caffeine absorption is given by C++1 = 0.84Ct, where t is time in hours and Ct is the concentration of caffeine in milligrams Assume (mg/l). a) Find the general solution of the DTDS above. Use C to denote the initial concentration Co (because subscripts are not allowed in this software). Answer: Ct = b) If Co = 1000 mg/l (a few cups of strong coffee), estimate the minimum time in hours needed for at least 77% of the caffeine to be eliminated from the body (i.e. at most 23% is left in the body). Round up to the nearest integer value. Answer: hours.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Subject-advance maths

Answer: Ct
Assume that the dynamics of caffeine absorption is given by C++1 = 0.84Ct, where t is time in hours and Ct is the concentration of caffeine in milligrams
(mg/l).
a) Find the general solution of the DTDS above. Use C to denote the initial concentration Co (because subscripts are not allowed in this software).
=
3
Ć
hours.
b) If Co = 1000 mg/l (a few cups of strong coffee), estimate the minimum time in hours needed for at least 77% of the caffeine to be eliminated from the
body (i.e. at most 23% is left in the body). Round up to the nearest integer value.
Answer:
Transcribed Image Text:Answer: Ct Assume that the dynamics of caffeine absorption is given by C++1 = 0.84Ct, where t is time in hours and Ct is the concentration of caffeine in milligrams (mg/l). a) Find the general solution of the DTDS above. Use C to denote the initial concentration Co (because subscripts are not allowed in this software). = 3 Ć hours. b) If Co = 1000 mg/l (a few cups of strong coffee), estimate the minimum time in hours needed for at least 77% of the caffeine to be eliminated from the body (i.e. at most 23% is left in the body). Round up to the nearest integer value. Answer:
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,