In a hospital, a drug is given to a patient.Let f(t) be the amount of drug (in mg) in the patient's body t minutes after it is administered.The nurses want to predict how the body will absorb the drug (the shape of the graph y = f(t)) to be able to prepare the next course of action.One of them remembers about Taylor polynomials from their Calculus course and explains that they allow to predict the shape of a function by making very accurate measurements of the function atone point.They decide to do this and they find the following details about the patient's absorption of the drug:• f(15) = 140• f'(15) = -10• f" (15) =121 000Use these details to approximate the average amount of drug in the patient's body over the first 2 hours:1201f(e) dt120Important: Remember that the measurements were made at t = 15 minutes.

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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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