Calculus with Applications Books a la Carte Edition
11th Edition
ISBN: 9780133864564
Author: Margaret L. Lial; Nathan P. Ritchey; Raymond N. Greenwell
Publisher: Pearson Education
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Chapter 8.2, Problem 5WE
To determine
To find: The value of the
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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 8 Solutions
Calculus with Applications Books a la Carte Edition
Ch. 8.1 - YOUR TURN 1 Find
Ch. 8.1 - YOUR TURN 2 Find
Ch. 8.1 - YOUR TURN 3
Find
Ch. 8.1 - YOUR TURN 4 Find
.
Ch. 8.1 - YOUR TURN 5
Find
Ch. 8.1 - Prob. 1WECh. 8.1 - Find the following.
W2.
Ch. 8.1 - Find the following.
W3.
Ch. 8.1 - Find the following.
W4.
Ch. 8.1 - Use integration by parts to find the integrals in...
Ch. 8.1 - Prob. 6WECh. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Use integration by parts to find the integrals in...Ch. 8.1 - Prob. 12ECh. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Prob. 20ECh. 8.1 - Exercises 13–22 are mixed—some require integration...Ch. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - 31. Suppose that u and v are differentiable...Ch. 8.1 - 32. Suppose that u and v are differentiable...Ch. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - 35. Use integration by parts to derive the...Ch. 8.1 - 36. Use integration by parts to derive the...Ch. 8.1 - Prob. 37ECh. 8.1 - 38. Using integration by parts,
Subtracting from...Ch. 8.1 - 39. Rate of Change of Revenue The rate of change...Ch. 8.1 - 40. Reaction to a Drug The rate of reaction to a...Ch. 8.1 - 41. Growth of a Population The rate of growth of a...Ch. 8.1 - 42. APPLY IT Rate of Growth The area covered by a...Ch. 8.1 - 43. Thermic Effect of Food As we saw in an earlier...Ch. 8.1 - 44. Rumen Fermentation The rumen is the first...Ch. 8.2 - YOUR TURN 1 Find the volume of the solid of...Ch. 8.2 - Prob. 2YTCh. 8.2 - Prob. 1WECh. 8.2 - Prob. 2WECh. 8.2 - Find the following.
W3.
Ch. 8.2 - Prob. 4WECh. 8.2 - Find the following.
W5. (Sec. 15.4)
Ch. 8.2 - Prob. 6WECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Find the volume of the solid of revolution formed...Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - The function defined by has as its graph a...Ch. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Find the average value of each function on the...Ch. 8.2 - Find the average value of each function on the...Ch. 8.2 - Find the average value of each function on the...Ch. 8.2 - Find the average value of each function on the...Ch. 8.2 - Find the average value of each function on the...Ch. 8.2 - Find the average value of each function on the...Ch. 8.2 - Find the average value of each function on the...Ch. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - 34. Average Price David Lopez plots the price per...Ch. 8.2 - 35. Average Price A stock analyst plots the price...Ch. 8.2 - Prob. 36ECh. 8.2 - 37. Average Inventory The DeMarco Pasta Company...Ch. 8.2 - 38. Public Debt In Example 5 of Section 10.3. the...Ch. 8.2 - Prob. 39ECh. 8.2 - 40. Blood Flow The figure shows the blood flow in...Ch. 8.2 - 41. Drug Reaction The intensity of the reaction to...Ch. 8.2 - Prob. 42ECh. 8.2 - 43. Production Rate Suppose the number of items a...Ch. 8.2 - 44. Typing Speed The function describes a...Ch. 8.2 - Prob. 45ECh. 8.3 - YOUR TURN 1 Find the total income over the first 2...Ch. 8.3 - YOUR TURN 2
Find the present value of an income...Ch. 8.3 - Prob. 3YTCh. 8.3 - Prob. 4YTCh. 8.3 - Prob. 1WECh. 8.3 - Prob. 2WECh. 8.3 - Prob. 3WECh. 8.3 - Prob. 4WECh. 8.3 - Prob. 1ECh. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Prob. 11ECh. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - Each of the functions in Exercises 1–14 represents...Ch. 8.3 - 15. Accumulated Amount of Money Flow An investment...Ch. 8.3 - 16. Present Value A real estate investment is...Ch. 8.3 - 17. Money Flow The rate of a continuous (low of...Ch. 8.3 - 18. Money Flow The rate of a continuous money flow...Ch. 8.3 - 19. Present Value A money market fund has a...Ch. 8.3 - 20. Accumulated Amount of Money Flow Find the...Ch. 8.4 - YOUR TURN 1
Find each integral.
(a)
(b)
Ch. 8.4 - Prob. 2YTCh. 8.4 - Prob. 1WECh. 8.4 - Prob. 2WECh. 8.4 - Prob. 3WECh. 8.4 - Prob. 4WECh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 6ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 8ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 10ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 12ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 14ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 18ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 20ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 22ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 24ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - 35. Find .
Ch. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Capital Value Find the capital values of the...Ch. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - 45. Capital Value An investment produces a...Ch. 8.4 - 46. Capital Value Suppose income from an...Ch. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - 49. Drug Reaction The rate of reaction to a drug...Ch. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Radioactive Waste The rate at which radioactive...Ch. 8.4 - Prob. 53ECh. 8.4 - 54. Gamma Function An important function in many...Ch. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RE
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