APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 4.7, Problem 21P
To determine
Discuss the possible outcomes and what percent of patients fall in each outcome when 50 mg of the drug is administered.
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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 4 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 4.1 - Prob. 1PCh. 4.1 - Prob. 2PCh. 4.1 - Prob. 3PCh. 4.1 - Prob. 4PCh. 4.1 - Prob. 5PCh. 4.1 - Prob. 6PCh. 4.1 - Prob. 7PCh. 4.1 - Prob. 8PCh. 4.1 - Prob. 9PCh. 4.1 - Prob. 10P
Ch. 4.1 - Prob. 11PCh. 4.1 - Prob. 12PCh. 4.1 - Prob. 13PCh. 4.1 - Prob. 14PCh. 4.1 - Prob. 15PCh. 4.1 - Prob. 16PCh. 4.1 - Prob. 17PCh. 4.1 - Prob. 18PCh. 4.1 - Prob. 19PCh. 4.1 - Prob. 20PCh. 4.1 - Prob. 21PCh. 4.1 - Prob. 22PCh. 4.1 - Prob. 23PCh. 4.1 - Prob. 24PCh. 4.1 - Prob. 25PCh. 4.1 - Prob. 26PCh. 4.1 - Prob. 27PCh. 4.1 - Prob. 28PCh. 4.1 - Prob. 29PCh. 4.1 - Prob. 30PCh. 4.1 - Prob. 31PCh. 4.1 - Prob. 32PCh. 4.1 - Prob. 33PCh. 4.1 - Prob. 34PCh. 4.1 - Prob. 35PCh. 4.1 - Prob. 36PCh. 4.1 - Prob. 37PCh. 4.1 - Prob. 38PCh. 4.1 - Prob. 39PCh. 4.1 - Prob. 40PCh. 4.1 - Prob. 41PCh. 4.1 - Prob. 42PCh. 4.1 - Prob. 43PCh. 4.1 - Prob. 44PCh. 4.1 - Prob. 45PCh. 4.1 - Prob. 46PCh. 4.1 - Prob. 47PCh. 4.1 - Prob. 48PCh. 4.1 - Prob. 49PCh. 4.1 - Prob. 50PCh. 4.1 - Prob. 51PCh. 4.1 - Prob. 52PCh. 4.1 - Prob. 53PCh. 4.1 - Prob. 54PCh. 4.1 - Prob. 55PCh. 4.1 - Prob. 56PCh. 4.1 - Prob. 57PCh. 4.1 - Prob. 58PCh. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 3PCh. 4.2 - Prob. 4PCh. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.2 - Prob. 7PCh. 4.2 - Prob. 8PCh. 4.2 - Prob. 9PCh. 4.2 - Prob. 10PCh. 4.2 - Prob. 11PCh. 4.2 - Prob. 12PCh. 4.2 - Prob. 13PCh. 4.2 - Prob. 14PCh. 4.2 - Prob. 15PCh. 4.2 - Prob. 16PCh. 4.2 - Prob. 17PCh. 4.2 - Prob. 18PCh. 4.2 - Prob. 19PCh. 4.2 - Prob. 20PCh. 4.2 - Prob. 21PCh. 4.2 - Prob. 22PCh. 4.2 - Prob. 23PCh. 4.2 - Prob. 24PCh. 4.2 - Prob. 25PCh. 4.2 - Prob. 26PCh. 4.2 - Prob. 27PCh. 4.2 - Prob. 28PCh. 4.2 - Prob. 29PCh. 4.2 - Prob. 30PCh. 4.2 - Prob. 31PCh. 4.2 - Prob. 32PCh. 4.2 - Prob. 33PCh. 4.2 - Prob. 34PCh. 4.2 - Prob. 35PCh. 4.2 - Prob. 36PCh. 4.2 - Prob. 37PCh. 4.2 - Prob. 38PCh. 4.2 - Prob. 39PCh. 4.2 - Prob. 40PCh. 4.2 - Prob. 41PCh. 4.3 - Prob. 1PCh. 4.3 - Prob. 2PCh. 4.3 - Prob. 3PCh. 4.3 - Prob. 4PCh. 4.3 - Prob. 5PCh. 4.3 - Prob. 6PCh. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Prob. 10PCh. 4.3 - Prob. 11PCh. 4.3 - Prob. 12PCh. 4.3 - Prob. 13PCh. 4.3 - Prob. 14PCh. 4.3 - Prob. 15PCh. 4.3 - Prob. 16PCh. 4.3 - Prob. 17PCh. 4.3 - Prob. 18PCh. 4.3 - Prob. 19PCh. 4.3 - Prob. 20PCh. 4.3 - Prob. 21PCh. 4.3 - Prob. 22PCh. 4.3 - Prob. 23PCh. 4.3 - Prob. 24PCh. 4.3 - Prob. 25PCh. 4.3 - Prob. 26PCh. 4.3 - Prob. 27PCh. 4.3 - Prob. 28PCh. 4.3 - Prob. 29PCh. 4.3 - Prob. 30PCh. 4.3 - Prob. 31PCh. 4.3 - Prob. 32PCh. 4.3 - Prob. 33PCh. 4.3 - Prob. 34PCh. 4.3 - Prob. 35PCh. 4.3 - Prob. 36PCh. 4.3 - Prob. 37PCh. 4.3 - Prob. 38PCh. 4.3 - Prob. 39PCh. 4.3 - Prob. 40PCh. 4.3 - Prob. 41PCh. 4.3 - Prob. 42PCh. 4.3 - Prob. 43PCh. 4.3 - Prob. 44PCh. 4.3 - Prob. 45PCh. 4.3 - Prob. 46PCh. 4.3 - Prob. 47PCh. 4.3 - Prob. 48PCh. 4.3 - Prob. 49PCh. 4.3 - Prob. 50PCh. 4.3 - Prob. 51PCh. 4.3 - Prob. 52PCh. 4.3 - Prob. 53PCh. 4.3 - Prob. 54PCh. 4.3 - Prob. 55PCh. 4.3 - Prob. 56PCh. 4.3 - Prob. 57PCh. 4.3 - Prob. 58PCh. 4.3 - Prob. 59PCh. 4.3 - Prob. 60PCh. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 5PCh. 4.4 - Prob. 6PCh. 4.4 - Prob. 7PCh. 4.4 - Prob. 8PCh. 4.4 - Prob. 9PCh. 4.4 - Prob. 10PCh. 4.4 - Prob. 11PCh. 4.4 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - Prob. 19PCh. 4.4 - Prob. 20PCh. 4.4 - Prob. 21PCh. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - Prob. 25PCh. 4.4 - Prob. 26PCh. 4.4 - Prob. 27PCh. 4.4 - Prob. 28PCh. 4.4 - Prob. 29PCh. 4.4 - Prob. 30PCh. 4.4 - Prob. 31PCh. 4.4 - Prob. 32PCh. 4.4 - Prob. 33PCh. 4.4 - Prob. 34PCh. 4.4 - Prob. 35PCh. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 4PCh. 4.5 - Prob. 5PCh. 4.5 - Prob. 6PCh. 4.5 - Prob. 7PCh. 4.5 - Prob. 8PCh. 4.5 - Prob. 9PCh. 4.5 - Prob. 10PCh. 4.5 - Prob. 11PCh. 4.5 - Prob. 12PCh. 4.5 - Prob. 13PCh. 4.5 - Prob. 14PCh. 4.5 - Prob. 15PCh. 4.5 - Prob. 16PCh. 4.5 - Prob. 17PCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.6 - Prob. 5PCh. 4.6 - Prob. 6PCh. 4.6 - Prob. 7PCh. 4.6 - Prob. 8PCh. 4.6 - Prob. 9PCh. 4.6 - Prob. 10PCh. 4.6 - Prob. 11PCh. 4.6 - Prob. 12PCh. 4.6 - Prob. 13PCh. 4.6 - Prob. 14PCh. 4.6 - Prob. 15PCh. 4.6 - Prob. 16PCh. 4.6 - Prob. 17PCh. 4.6 - Prob. 18PCh. 4.6 - Prob. 19PCh. 4.6 - Prob. 20PCh. 4.6 - Prob. 21PCh. 4.6 - Prob. 22PCh. 4.6 - Prob. 23PCh. 4.6 - Prob. 24PCh. 4.6 - Prob. 25PCh. 4.6 - Prob. 26PCh. 4.6 - Prob. 27PCh. 4.6 - Prob. 28PCh. 4.6 - Prob. 29PCh. 4.6 - Prob. 30PCh. 4.6 - Prob. 31PCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 7PCh. 4.7 - Prob. 8PCh. 4.7 - Prob. 9PCh. 4.7 - Prob. 10PCh. 4.7 - Prob. 11PCh. 4.7 - Prob. 12PCh. 4.7 - Prob. 13PCh. 4.7 - Prob. 14PCh. 4.7 - Prob. 15PCh. 4.7 - Prob. 16PCh. 4.7 - Prob. 17PCh. 4.7 - Prob. 18PCh. 4.7 - Prob. 19PCh. 4.7 - Prob. 20PCh. 4.7 - Prob. 21PCh. 4.7 - Prob. 22PCh. 4.7 - Prob. 23PCh. 4.7 - Prob. 24PCh. 4.8 - Prob. 1PCh. 4.8 - Prob. 2PCh. 4.8 - Prob. 3PCh. 4.8 - Prob. 4PCh. 4.8 - Prob. 5PCh. 4.8 - Prob. 6PCh. 4.8 - Prob. 7PCh. 4.8 - Prob. 8PCh. 4.8 - Prob. 9PCh. 4.8 - Prob. 10PCh. 4.8 - Prob. 11PCh. 4.8 - Prob. 12PCh. 4.8 - Prob. 13PCh. 4 - Prob. 1SYUCh. 4 - Prob. 2SYUCh. 4 - Prob. 3SYUCh. 4 - Prob. 4SYUCh. 4 - Prob. 5SYUCh. 4 - Prob. 6SYUCh. 4 - Prob. 7SYUCh. 4 - Prob. 8SYUCh. 4 - Prob. 9SYUCh. 4 - Prob. 10SYUCh. 4 - Prob. 11SYUCh. 4 - Prob. 12SYUCh. 4 - Prob. 13SYUCh. 4 - Prob. 14SYUCh. 4 - Prob. 15SYUCh. 4 - Prob. 16SYUCh. 4 - Prob. 17SYUCh. 4 - Prob. 18SYUCh. 4 - Prob. 19SYUCh. 4 - Prob. 20SYUCh. 4 - Prob. 21SYUCh. 4 - Prob. 22SYUCh. 4 - Prob. 23SYUCh. 4 - Prob. 24SYUCh. 4 - Prob. 25SYUCh. 4 - Prob. 26SYUCh. 4 - Prob. 27SYUCh. 4 - Prob. 28SYUCh. 4 - Prob. 29SYUCh. 4 - Prob. 30SYUCh. 4 - Prob. 31SYUCh. 4 - Prob. 32SYUCh. 4 - Prob. 33SYUCh. 4 - Prob. 34SYUCh. 4 - Prob. 35SYUCh. 4 - Prob. 36SYUCh. 4 - Prob. 37SYUCh. 4 - Prob. 38SYUCh. 4 - Prob. 39SYUCh. 4 - Prob. 40SYUCh. 4 - Prob. 41SYUCh. 4 - Prob. 42SYUCh. 4 - Prob. 43SYUCh. 4 - Prob. 44SYUCh. 4 - Prob. 45SYUCh. 4 - Prob. 46SYUCh. 4 - Prob. 47SYUCh. 4 - Prob. 48SYUCh. 4 - Prob. 49SYUCh. 4 - Prob. 50SYUCh. 4 - Prob. 51SYUCh. 4 - Prob. 52SYUCh. 4 - Prob. 53SYUCh. 4 - Prob. 54SYUCh. 4 - Prob. 55SYUCh. 4 - Prob. 56SYUCh. 4 - Prob. 57SYUCh. 4 - Prob. 58SYUCh. 4 - Prob. 59SYUCh. 4 - Prob. 60SYUCh. 4 - Prob. 61SYUCh. 4 - Prob. 62SYUCh. 4 - Prob. 63SYUCh. 4 - Prob. 64SYUCh. 4 - Prob. 65SYUCh. 4 - Prob. 66SYUCh. 4 - Prob. 67SYUCh. 4 - Prob. 68SYUCh. 4 - Prob. 69SYUCh. 4 - Prob. 70SYUCh. 4 - Prob. 71SYUCh. 4 - Prob. 72SYUCh. 4 - Prob. 73SYUCh. 4 - Prob. 74SYUCh. 4 - Prob. 75SYUCh. 4 - Prob. 76SYUCh. 4 - Prob. 77SYUCh. 4 - Prob. 78SYUCh. 4 - Prob. 79SYUCh. 4 - Prob. 80SYU
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