
Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A4, Problem 21E
To determine
To calculate: The factor of polynomial
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The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
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d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
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Chapter A4 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. A4 - Prob. 1CPCh. A4 - Prob. 2CPCh. A4 - Prob. 3CPCh. A4 - Prob. 4CPCh. A4 - Prob. 1ECh. A4 - Prob. 2ECh. A4 - Prob. 3ECh. A4 - Prob. 4ECh. A4 - Prob. 5ECh. A4 - Prob. 6E
Ch. A4 - Prob. 7ECh. A4 - Prob. 8ECh. A4 - Prob. 9ECh. A4 - Prob. 10ECh. A4 - Prob. 11ECh. A4 - Prob. 12ECh. A4 - Prob. 13ECh. A4 - Prob. 14ECh. A4 - Prob. 15ECh. A4 - Prob. 16ECh. A4 - Factoring Polynomials In Exercises 9-18, write the...Ch. A4 - Prob. 18ECh. A4 - Prob. 19ECh. A4 - Prob. 20ECh. A4 - Prob. 21ECh. A4 - Prob. 22ECh. A4 - Prob. 23ECh. A4 - Prob. 24ECh. A4 - Prob. 25ECh. A4 - Prob. 26ECh. A4 - Prob. 27ECh. A4 - Prob. 28ECh. A4 - Prob. 29ECh. A4 - Prob. 30ECh. A4 - Prob. 31ECh. A4 - Prob. 32ECh. A4 - Prob. 33ECh. A4 - Prob. 34ECh. A4 - Prob. 35ECh. A4 - Prob. 36ECh. A4 - Prob. 37ECh. A4 - Prob. 38ECh. A4 - Prob. 39ECh. A4 - Prob. 40ECh. A4 - Prob. 41ECh. A4 - Prob. 42ECh. A4 - Prob. 43ECh. A4 - Prob. 44ECh. A4 - Prob. 45ECh. A4 - Prob. 46ECh. A4 - Prob. 47ECh. A4 - Prob. 48ECh. A4 - Prob. 49ECh. A4 - Prob. 50ECh. A4 - Prob. 51ECh. A4 - Prob. 52ECh. A4 - Prob. 53ECh. A4 - Prob. 54ECh. A4 - Prob. 55ECh. A4 - Prob. 56ECh. A4 - Prob. 57ECh. A4 - Prob. 58ECh. A4 - Prob. 59ECh. A4 - Prob. 60ECh. A4 - Prob. 61ECh. A4 - Prob. 62ECh. A4 - Prob. 63ECh. A4 - Prob. 64ECh. A4 - Prob. 65ECh. A4 - Prob. 66ECh. A4 - Prob. 67ECh. A4 - Prob. 68ECh. A4 - Prob. 69ECh. A4 - Prob. 70ECh. A4 - Prob. 71ECh. A4 - Prob. 72ECh. A4 - Prob. 73ECh. A4 - Prob. 74ECh. A4 - Prob. 75ECh. A4 - Prob. 76E
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