EP CALCULUS:EARLY TRANS.-MYLABMATH ACC.
3rd Edition
ISBN: 9780135873311
Author: Briggs
Publisher: PEARSON CO
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Chapter C, Problem 61E
To determine
To prove: The identities
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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
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
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 C Solutions
EP CALCULUS:EARLY TRANS.-MYLABMATH ACC.
Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Geometry of complex numbers Plot the following...Ch. C - Geometry of complex numbers Plot the following...
Ch. C - Prob. 11ECh. C - Prob. 12ECh. C - Prob. 13ECh. C - Prob. 14ECh. C - Prob. 15ECh. C - Prob. 16ECh. C - Prob. 17ECh. C - Prob. 18ECh. C - Prob. 19ECh. C - Prob. 20ECh. C - Eulers formula Evaluate the following expressions....Ch. C - Eulers formula Evaluate the following expressions....Ch. C - Prob. 23ECh. C - Eulers formula Evaluate the following expressions....Ch. C - Eulers formula Evaluate the following expressions....Ch. C - Prob. 26ECh. C - Prob. 27ECh. C - Prob. 28ECh. C - Prob. 29ECh. C - Prob. 30ECh. C - Prob. 31ECh. C - Prob. 32ECh. C - Prob. 33ECh. C - Prob. 34ECh. C - Prob. 35ECh. C - Prob. 36ECh. C - Prob. 37ECh. C - Prob. 38ECh. C - Prob. 39ECh. C - Prob. 40ECh. C - Prob. 41ECh. C - Prob. 42ECh. C - Prob. 43ECh. C - Prob. 44ECh. C - Prob. 45ECh. C - Prob. 46ECh. C - Prob. 47ECh. C - Prob. 48ECh. C - Explorations and Challenges Evaluating roots...Ch. C - Prob. 50ECh. C - Prob. 51ECh. C - Prob. 52ECh. C - Prob. 53ECh. C - Prob. 54ECh. C - Prob. 55ECh. C - Prob. 56ECh. C - Solving polynomial equations Find all roots of the...Ch. C - Solving polynomial equations Find all roots of the...Ch. C - Prob. 59ECh. C - Prob. 60ECh. C - Prob. 61E
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