Solved

An Antibiotic Is Being Administered Intravenously to a Patient

Question 16

Multiple Choice

An antibiotic is being administered intravenously to a patient. Fluid containing 6.5 mg/ of the antibiotic enters the patient's bloodstream at a rate of 100 /hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.4 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.Which of these is a differential equation for the amount of antibiotic, A(t) , in the bloodstream at any time t?


A) An antibiotic is being administered intravenously to a patient. Fluid containing 6.5 mg/ of the antibiotic enters the patient's bloodstream at a rate of 100 /hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.4 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.Which of these is a differential equation for the amount of antibiotic, A(t) , in the bloodstream at any time t? A) B) C) D)
B) An antibiotic is being administered intravenously to a patient. Fluid containing 6.5 mg/ of the antibiotic enters the patient's bloodstream at a rate of 100 /hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.4 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.Which of these is a differential equation for the amount of antibiotic, A(t) , in the bloodstream at any time t? A) B) C) D)
C) An antibiotic is being administered intravenously to a patient. Fluid containing 6.5 mg/ of the antibiotic enters the patient's bloodstream at a rate of 100 /hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.4 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.Which of these is a differential equation for the amount of antibiotic, A(t) , in the bloodstream at any time t? A) B) C) D)
D) An antibiotic is being administered intravenously to a patient. Fluid containing 6.5 mg/ of the antibiotic enters the patient's bloodstream at a rate of 100 /hour. The antibiotic is absorbed by the body or otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.4 per hour. Assume the antibiotic is always uniformly distributed throughout the bloodstream.Which of these is a differential equation for the amount of antibiotic, A(t) , in the bloodstream at any time t? A) B) C) D)

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Q11: A pond initially contains 120,000 gallons of

Q12: Newton's Law of Cooling states that the

Q13: Newton's Law of Cooling states that the

Q14: Newton's Law of Cooling states that the

Q15: Newton's Law of Cooling states that the

Q17: An antibiotic is being administered intravenously to

Q18: An antibiotic is being administered intravenously to

Q19: Consider the differential equation x

Q20: Consider the differential equation x =

Q21: For each of the following ordinary differential

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents