Student Solutions Manual for Stewart's Single Variable Calculus: Early Transcendentals, 8th (James Stewart Calculus)
8th Edition
ISBN: 9781305272422
Author: James Stewart, Jeffrey A. Cole, Daniel Drucker, Daniel Anderson
Publisher: Cengage Learning
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Chapter E, Problem 37E
To determine
To prove: The formula
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The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
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- 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.
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Answer:
7x
4 + 1x
dx
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Chapter E Solutions
Student Solutions Manual for Stewart's Single Variable Calculus: Early Transcendentals, 8th (James Stewart Calculus)
Ch. E - Prob. 1ECh. E - Write the sum in expanded form. 2. i=161i+1Ch. E - Prob. 3ECh. E - Write the sum in expanded form. 4. i=46i3Ch. E - Prob. 5ECh. E - Prob. 6ECh. E - Prob. 7ECh. E - Prob. 8ECh. E - Write the sum in expanded form. 9. j=0n1(1)jCh. E - Write the sum in expanded form. 10. i=1nf(xi)xi
Ch. E - Prob. 11ECh. E - Write the sum in sigma notation. 12. 3+4+5+6+7Ch. E - Prob. 13ECh. E - Write the sum in sigma notation. 14....Ch. E - Prob. 15ECh. E - Prob. 16ECh. E - Prob. 17ECh. E - Prob. 18ECh. E - Prob. 19ECh. E - Prob. 20ECh. E - Prob. 21ECh. E - Prob. 22ECh. E - Prob. 23ECh. E - Prob. 24ECh. E - Prob. 25ECh. E - Find the value of the sum. 26. i=11004Ch. E - Prob. 27ECh. E - Prob. 28ECh. E - Prob. 29ECh. E - Prob. 30ECh. E - Find the value of the sum. 31. i=1n(i2+3i+4)Ch. E - Prob. 32ECh. E - Prob. 33ECh. E - Prob. 34ECh. E - Prob. 35ECh. E - Prob. 36ECh. E - Prob. 37ECh. E - Prob. 38ECh. E - Prob. 39ECh. E - Prove formula (e) of Theorem 3 using the following...Ch. E - Evaluate each telescoping sum. (a) i=1n[i4(i1)4]...Ch. E - Prob. 42ECh. E - Prob. 43ECh. E - Prob. 44ECh. E - Prob. 45ECh. E - Prob. 46ECh. E - Prob. 47ECh. E - Prob. 48ECh. E - Prob. 49ECh. E - Prob. 50E
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