Fresh features from the #1 AI-enhanced learning platform.Try it free
Fresh features from the #1 AI-enhanced learning platformCrush your year with the magic of personalized studying.Try it free
Question

Warfarin is a drug used as an anticoagulant. After administration of the drug is stopped, the quantity remaining in a patient's body decreases at a rate proportional to the quantity remaining. The half-life of warfarin in the body is 37 hours. Sketch the quantity, Q, of warfarin in a patient's body as a function of the time, t, since stopping administration of the drug. Mark the 37 hours on your graph .

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 3

Since it was mentioned that the quantity QQ of warfarin remaining in the body decreases at a rate proportional to the quantity of warfarin remaining in the body, it will have the following differential equation:

dQdt=kQ\frac{dQ}{dt} = -kQ

and the following general solution:

Q(t)=Q0ektQ(t) = Q_{0} e^{-kt}

where kk is some constant of proportionality.

Create an account to view solutions

Create an account to view solutions

Recommended textbook solutions

Thomas' Calculus 14th Edition by Christopher E Heil, Joel R. Hass, Maurice D. Weir

Thomas' Calculus

14th EditionISBN: 9780134438986 (8 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir
10,144 solutions
Applied Calculus 3rd Edition by Flath, Gleason, Hughes-Hallett, Lock

Applied Calculus

3rd EditionISBN: 9780471681212Flath, Gleason, Hughes-Hallett, Lock
3,394 solutions
Calculus: Early Transcendentals 8th Edition by James Stewart

Calculus: Early Transcendentals

8th EditionISBN: 9781285741550 (5 more)James Stewart
11,085 solutions
Calculus: Early Transcendentals 9th Edition by Daniel K. Clegg, James Stewart, Saleem Watson

Calculus: Early Transcendentals

9th EditionISBN: 9781337613927Daniel K. Clegg, James Stewart, Saleem Watson
11,048 solutions

More related questions

1/4

1/7