2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in milligrams. What is the average impact if the dose is increased from 10 to 20 milligrams?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
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2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and
D in milligrams. What is the average impact if the dose is increased from 10 to 20 milligrams?
Transcribed Image Text:2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in milligrams. What is the average impact if the dose is increased from 10 to 20 milligrams?
Question 2
The impact of a drug is a measure of its effect, for example the reduction in blood pressure, loss of
weight, or the duration of a headache. The impact, I, generally depends on the dose, D, given.
The following impact function is given for positive constants (with b > D) and valid for D e (0,300]
I = g(D) = aDb – D.
Given [1 dD = -a(2b + 3D)(b – D) + C and
dI
dD
a(2b – 3D)
2,6 - D
2.1 What dose, in suitable units, gives the maximum impact on the domain of g?
Transcribed Image Text:Question 2 The impact of a drug is a measure of its effect, for example the reduction in blood pressure, loss of weight, or the duration of a headache. The impact, I, generally depends on the dose, D, given. The following impact function is given for positive constants (with b > D) and valid for D e (0,300] I = g(D) = aDb – D. Given [1 dD = -a(2b + 3D)(b – D) + C and dI dD a(2b – 3D) 2,6 - D 2.1 What dose, in suitable units, gives the maximum impact on the domain of g?
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