After drinking, the body eliminates 37% of the alcohol present in the body per hour. f(zn) a) The amount of alcohol in grams in the body on an hourly basis is described by a discrete time dynamical system (DTDS) of the form n+1 = where is the number of grams of alcohol in the body after n hours. Give the updating function f (as a function of the variable z). Answer: f(z) = .73'x'n b) Peter had three alcoholic drinks that brought the alcohol content in his body to 42 grams, and then he stopped drinking. Give the initial condition (in gra for the DTDS in (a). Answer: 0 42 grams e) Find the solution of the DTDS in (a) with the initial condition given in (b). (Your answer will be a function of the variable n, which represents time in hour 40tul 70146
After drinking, the body eliminates 37% of the alcohol present in the body per hour. f(zn) a) The amount of alcohol in grams in the body on an hourly basis is described by a discrete time dynamical system (DTDS) of the form n+1 = where is the number of grams of alcohol in the body after n hours. Give the updating function f (as a function of the variable z). Answer: f(z) = .73'x'n b) Peter had three alcoholic drinks that brought the alcohol content in his body to 42 grams, and then he stopped drinking. Give the initial condition (in gra for the DTDS in (a). Answer: 0 42 grams e) Find the solution of the DTDS in (a) with the initial condition given in (b). (Your answer will be a function of the variable n, which represents time in hour 40tul 70146
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
Answer all the parts otherwise don't solve.
Transcribed Image Text:After drinking, the body eliminates 37% of the alcohol present in the body per hour.
a) The amount of alcohol in grams in the body on an hourly basis is described by a discrete time dynamical system (DTDS) of the form n+1 = f(n).
where an is the number of grams of alcohol in the body after n hours. Give the updating function f (as a function of the variable z).
Answer: f(z)=
.73*x*n
b) Peter had three alcoholic drinks that brought the alcohol content in his body to 42 grams, and then he stopped drinking. Give the initial condition (in grama
for the DTDS in (a).
42
grams
Answer: 0
e) Find the solution of the DTDS in (a) with the initial condition given in (b). (Your answer will be a function of the variable n, which represents time in hours.
Answer: n = 42*x(.73)^(n-1)
d) If the amount of alcohol in Peter's body has to be below 8 grams before one can drive, how long (in hours) does Peter have to wait before he can drive?
Round up to the nearest integer value.
Answer: 4
hours
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
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,
