When a drug is administered orally it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C = 2.95(e−0.7t − e−7t). What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.) maximum concentration mg/L time hr
When a drug is administered orally it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as C = 2.95(e−0.7t − e−7t). What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.) maximum concentration mg/L time hr
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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When a drug is administered orally it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as
C = 2.95(e−0.7t − e−7t).
What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.)
maximum concentration |
mg/L | |
time | hr |
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