
Precalculus (10th Edition)
10th Edition
ISBN: 9780321979070
Author: Michael Sullivan
Publisher: PEARSON
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Chapter B.1, Problem 6E
In Problems
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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 B Solutions
Precalculus (10th Edition)
Ch. B.1 - In Problems determine the coordinates of the...Ch. B.1 - In Problems determine the coordinates of the...Ch. B.1 - In Problems determine the coordinates of the...Ch. B.1 - In Problems determine the coordinates of the...Ch. B.1 - In Problems 510, determine the viewing window...Ch. B.1 - In Problems 510, determine the viewing window...Ch. B.1 - In Problems 510, determine the viewing window...Ch. B.1 - In Problems 510, determine the viewing window...Ch. B.1 - In Problems determine the viewing window...Ch. B.1 - In Problems 1116, select a setting so that each of...
Ch. B.1 - In Problems select a setting so that each of the...Ch. B.1 - In Problems select a setting so that each of the...Ch. B.1 - In Problems select a setting so that each of the...Ch. B.1 - In Problems 1116, select a setting so that each of...Ch. B.1 - In Problems 1116, select a setting so that each of...Ch. B.1 - In Problems select a setting so that each of the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - In Problems graph each equation using the...Ch. B.2 - In Problems 116, graph each equation using the...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - For each of the above equations, create a table,...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - 1732. For each of the above equations, create a...Ch. B.2 - For each of the above equations, create a table,...Ch. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - In Problems 16, use Zero (or ROOT) to approximate...Ch. B.3 - In Problems 16, use Zero (or ROOT) to approximate...Ch. B.3 - In Problems 16, use Zero (or ROOT) to approximate...Ch. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - In Problems 712, use Zero (or ROOT) to approximate...Ch. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - In Problems 712, use Zero (or ROOT) to approximate...Ch. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - In Problems use Zero (or ROOT) to approximate the...Ch. B.3 - In Problems 712, use Zero (or ROOT) to approximate...Ch. B.5 - Prob. 1ECh. B.5 - Prob. 2ECh. B.5 - Prob. 3ECh. B.5 - Prob. 4ECh. B.5 - Prob. 5ECh. B.5 - Prob. 6ECh. B.5 - Prob. 7ECh. B.5 - Prob. 8ECh. B.5 - If Xmin=4,Xmax=12, and Xscl=1, how should...Ch. B.5 - If and how should and be selected so that the...
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- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardQuestion 1: Evaluate the following indefinite integrals. a) (5 points) sin(2x) 1 + cos² (x) dx b) (5 points) t(2t+5)³ dt c) (5 points) √ (In(v²)+1) 4 -dv ขarrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forward
- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardHere is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
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