Example: • A drug is administered to a patient through an intravenous line at a rate of 6 mg/hr. • The drug's presence in the body (drug load) is reduced, through metabolic and other chemical processes, at a rate of 3% per hour. = -0.03y + 6 dt In this example, -0.03y represents 3% of the current drug load in the body, and is the change in drug load in the body, in units of mg per hour. The function y (t) is not known, but it represents the patient's drug load at time t (in hours). Notice, the quantity of drug metabolized out of the system depends on the current drug load (-0.03y) but the quantity of drug added to the patient through the intravenous therapy is constant eac hour (+6). You try one: • The amount of drug in the blood of a patient (in mg) due to an intravenous line is described by = -0.02y + 3, where t is measured in hours. In this problem, reduction of 2% OR addition through intravenous line of 2% • -0.02y represents [Select ] of the drug load; addition of doses each hour through the intravenous line OR • +3 represents ( Select ] addition of 3% each hour due to metabolic processes • and is the rate of change, in units of ( Select ] mg/hr OR mg/year OR percent/hour

Example: • A drug is administered to a patient through an intravenous line at a rate of 6 mg/hr. • The drug's presence in the body (drug load) is reduced, through metabolic and other chemical processes, at a rate of 3% per hour. = -0.03y + 6 dt In this example, -0.03y represents 3% of the current drug load in the body, and is the change in drug load in the body, in units of mg per hour. The function y (t) is not known, but it represents the patient's drug load at time t (in hours). Notice, the quantity of drug metabolized out of the system depends on the current drug load (-0.03y) but the quantity of drug added to the patient through the intravenous therapy is constant eac hour (+6). You try one: • The amount of drug in the blood of a patient (in mg) due to an intravenous line is described by = -0.02y + 3, where t is measured in hours. In this problem, reduction of 2% OR addition through intravenous line of 2% • -0.02y represents [Select ] of the drug load; addition of doses each hour through the intravenous line OR • +3 represents ( Select ] addition of 3% each hour due to metabolic processes • and is the rate of change, in units of ( Select ] mg/hr OR mg/year OR percent/hour

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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