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An Antibiotic Is Being Administered Intravenously to a Patient

Question 5

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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)

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