
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
14th Edition
ISBN: 9780137400126
Author: Raymond Barnett, Michael Ziegler
Publisher: PEARSON+
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Question
Chapter DPT, Problem 43E
To determine
To write: The expression
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
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
Chapter DPT Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...
Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Work all of the problems in this self-test without...Ch. DPT - Give an example of an integer that is not a...Ch. DPT - Prob. 17ECh. DPT - Prob. 18ECh. DPT - Prob. 19ECh. DPT - Prob. 20ECh. DPT - Prob. 21ECh. DPT - In Problems 1724, simplify and write answers using...Ch. DPT - Prob. 23ECh. DPT - Prob. 24ECh. DPT - In Problems 2530, perform the indicated operation...Ch. DPT - In Problems 2530, perform the indicated operation...Ch. DPT - In Problems 2530, perform the indicated operation...Ch. DPT - Prob. 28ECh. DPT - In Problems 2530, perform the indicated operation...Ch. DPT - In Problems 2530, perform the indicated operation...Ch. DPT - Each statement illustrates the use of one of the...Ch. DPT - Round to the nearest integer: (A)173 (B)519Ch. DPT - Multiplying a number x by 4 gives the same result...Ch. DPT - Find the slope of the line that contains the...Ch. DPT - Find the x and y coordinates of the point at which...Ch. DPT - Find the x and y coordinates of the point at which...Ch. DPT - In Problems 37 and 38, factor completely....Ch. DPT - In Problems 37 and 38, factor completely....Ch. DPT - In Problems 3942, write in the form axp + byq...Ch. DPT - Prob. 40ECh. DPT - Prob. 41ECh. DPT - In Problems 3942, write in the form axp + byq...Ch. DPT - Prob. 43ECh. DPT - Prob. 44ECh. DPT - In Problems 4550, solve for x. 45.x2=5xCh. DPT - In Problems 4550, solve for x. 46.3x221=0Ch. DPT - In Problems 4550, solve for x. 47.x2x20=0Ch. DPT - In Problems 4550, solve for x. 48.6x2+7x1=0Ch. DPT - In Problems 4550, solve for x. 49.x2+2x1=0Ch. DPT - In Problems 4550, solve for x. 50.x46x2+5=0
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