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Math
CalculusCalculus (MindTap Course List)8th Edition

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Chapter 7.8, Problem 70E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Dialysis treatment removes urea and other waste products from a patient’s blood by diverting some of the bloodflow externally through a machine called a dialyzer. The rate at which urea is removed from the blood (in mg/min) is often well described by the equation

u ( t ) = r V C 0 e − r t / V

where r is the rate of flow of blood through the dialyzer (in mL/min), V is the volume of the patient’s blood (in mL), and C 0 is the amount of urea in the blood (in mg) at time t = 0 . Evaluate the integral ∫ 0 ∞ u ( t ) and interpret it.

To determine

To evaluate:

The integral ∫0∞u(t) and interpret it.

Explanation

Given:

u(t)=rVC0e−rt/V

C0-Amount of urea in the blood at t=0

V -Volume of patient’s blood

r -rate of flow of blood through dialysis.

Formula: If a is a positive constant then

∫0∞e-atdt=1a

u(t)=rVC0e−rt/V

∫0∞u(t)dt=∫0∞rVC0<

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Using Vectors to Determine Collinear PointsIn Exercises 17 and 18, use vectors to determine whether the points ...

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Graph each subset of the real numbers on a number line: The integers -2 to 4

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Three years of monthly lawn-maintenance expenses () for a six-unit apartment house in southern Florida follow. ...

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Exercises 8-14 involve the information in Figure 9.114 on installing a drip irrigation system. Create a PERT ch...

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Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A =...

Statistics for Business & Economics, Revised (MindTap Course List)

The following Exercises 7 through 19 involve rectangles, parallelograms, trapezoids, and triangles. Given certa...

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Describe the basic concern with measuring inter-rater reliability and explain how Cohens kappa addresses this c...

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researcher has a sample of 30 rats that are all cloned from the same source. The 30 rats are genetically identi...

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A random sample of n = 12 four-year-old red pine trees was selected, and the diameter (in inches) of each trees...

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