In certain biological models, the human bodys reaction to a particular kind of medication is measured by

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In certain biological models, the human body’s reaction to a particular kind of medication is measured by a function of the form

where k is a positive constant and M is the amount of medication absorbed in the blood. The sensitivity of the body to the medication is measured by the derivative S = F'(M).

a. Show that the body is most sensitive to the medication when M = k/3.

b. What is the average reaction to the medication for 0 ≤ M ≤ k/3?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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Question Posted: Jun 24, 2023 04:42 AM

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In certain biological models, the human bodys reaction to a particular kind of medication is measured by

Question:

F(M) = 1/(KM² 3 (KM² - M³) 0≤M≤k

Step by Step Answer:

a b S FM 2KM 3M 3 We need t...View the full answer

Calculus For Business, Economics And The Social And Life Sciences

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