MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 9.4, Problem 27E
To determine
The equation of the graphed line by finding the slope and the y-intercepts from the given graph.
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Calculate the eigenvalues of this matrix:
[21 12
A
24 -21
You'll probably want to use a calculator or computer to estimate the roots of the polynomial that defines the
eigenvalues.
The system has two real eigenvalues 1 and 2 where \1<\2
smaller eigenvalue \1
=
help (numbers)
associated eigenvector v1
larger eigenvalue 2
=
=
help (matrices)
help (numbers)
associated eigenvector v2
If x'
=
=
B
help (matrices)
A is a differential equation, how do the solution curves behave?
A. The solution curves diverge from different points on parallel paths.
B. The solution curves would race towards zero and then veer away towards infinity. (saddle point)
C. The solution curves converge to different points on parallel paths.
D. All of the solution curves would run away from 0. (source / unstable node)
E. All of the solutions curves would converge towards 0. (sink / stable node)
Book: Section 3.5 of Notes on Diffy Qs
Suppose
x
=
C1e2t
[x(0)]
Ly(0).
Find C1 and C2.
H
==
+ C₂et
[ -
C1 =
help (numbers)
C₂ =
help (numbers)
3
5
2
1
-3 -2
-1
2
3
-1
-2
-3
A
5
*
x
=
Sketch the phase plane
trajectory that satisfies the
given initial condition. Which
graph most closely resembles
the graph you drew?
Choose ✰
Is the solution curve headed
toward or away from the
origin as t increases?
A. toward
B. away
C. neither toward nor
away
-3
N
-1
3
2
1
-1
-2
-3
Book: Section 3.5 of Notes on Diffy Qs
0
3
5
2
1
-3
-2 -1
-1
-2
-3
-
B
3
2
2
1
3
x
*
x
*
х
2
3
-3
-2 -1
2
3
-1
-2
-3
D
Show that
2et
|x(t) =
is a solution to the system of linear homogeneous differential equations
x'₁ = 2x1 + x2 x3,
x2 = x1 + x2 + 2x3,
x3 = x
= x1 + 2x2 x3.
Find the value of each term in the equation x1
order given.)
=
2x1 x2 x3 in terms of the variable t. (Enter the terms in the
☐ = 0 + 0 + ☐ help (formulas)
Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the
order given.)
☐ = 0 + 0 + help (formulas)
Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the
order given.)
☐ = 0 + 0 + ☐ help (formulas)
Book: Section 3.3 of Notes on Diffy Qs
Chapter 9 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 9.1 - Find y if x = 4 in the equation 3x + 2y = 6.
Ch. 9.1 - Locate the points in Fig. 9–12 by giving the...Ch. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9E
Ch. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Rewrite the equation in function notation.
y = 5x...Ch. 9.1 - Rewrite the equation in function notation.
y = −3x...Ch. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Rewrite the equation in function notation.
3x + y...Ch. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Rewrite the equation in function notation.
x − 7y...Ch. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Make a table of solutions to obtain at least three...Ch. 9.1 - Prob. 40ECh. 9.1 - Make a table of solutions to obtain at least three...Ch. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prepare a table of solutions with at least three...Ch. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prepare a table of solutions with at least three...Ch. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Determine which of the ordered pairs are solutions...Ch. 9.1 - Determine which of the ordered pairs are solutions...Ch. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Prob. 80ECh. 9.1 - Prob. 81ECh. 9.1 - Prob. 82ECh. 9.2 - Find y when x = 0 for the equation 5x – 2y = 10.
Ch. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Find the intercepts of the equations. See Example...Ch. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Find the intercepts of the equations. See Example...Ch. 9.2 - Prob. 9ECh. 9.2 - See Example 3.
y = −x
Ch. 9.2 - Prob. 11ECh. 9.2 - Determine the slope and y-intercept by inspection....Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Rewrite the following equations in slope-intercept...Ch. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Graph the equations using the slope-intercept...Ch. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - BUS The cost of printing a magazine is $5,000 to...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - An inventory shows 196 jigsaw puzzles in stock....Ch. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Graph the following linear inequalities using test...Ch. 9.2 - Prob. 46ECh. 9.2 - Graph the following linear inequalities using test...Ch. 9.2 - Prob. 48ECh. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.3 - Prob. 1LCCh. 9.3 - Prob. 1ECh. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Prob. 3ECh. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Dee Wallace’s salary was $62,000 in 2005 and...Ch. 9.3 - If 100 backpacks cost $2,000 to produce and 800...Ch. 9.3 - An airplane takes off from the ground (altitude is...Ch. 9.3 - Use Table 9–2 for Exercises 12–18. Use the initial...Ch. 9.3 - Prob. 13ECh. 9.3 - Use Table 9–2 for Exercises 12–18. Use the initial...Ch. 9.3 - Prob. 15ECh. 9.3 - Use Table 9–2 for Exercises 12–18. Use the initial...Ch. 9.3 - Prob. 17ECh. 9.3 - Use Table 9–2 for Exercises 12–18. Use the initial...Ch. 9.3 - Prob. 19ECh. 9.3 - Find the slope of the line passing through the...Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Sketch the line passing through the pair of points...Ch. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Sketch the line passing through the pair of points...Ch. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Sketch the line passing through the pair of points...Ch. 9.4 - Identify the slope and y-intercept in the equation...Ch. 9.4 - Find the equation of a line passing through the...Ch. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Find the equation of a line passing through the...Ch. 9.4 - Prob. 5ECh. 9.4 - Find the equation of a line passing through the...Ch. 9.4 - Prob. 7ECh. 9.4 - Find the equation of a line passing through the...Ch. 9.4 - Prob. 9ECh. 9.4 - Find the equation of a line passing through the...Ch. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Write the equation of the line with the given...Ch. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Write the equation of the line with the given...Ch. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - See Example 7.
BUS A local business rents computer...Ch. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - See Example 7.
AUTO A snowplow has a maximum speed...Ch. 9.4 - Prob. 26ECh. 9.4 - Identify the slope and y-intercept to write the...Ch. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Write the new equations in standard form. Verify...Ch. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Write the new equations in standard form. Verify...Ch. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Write the new equations in standard form. Verify...Ch. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Write the new equations in standard form. Verify...Ch. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Represent the solutions of the equations in a...Ch. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 64RECh. 9 - Prob. 65RECh. 9 - Prob. 66RECh. 9 - Prob. 67RECh. 9 - Prob. 68RECh. 9 - Prob. 69RECh. 9 - Prob. 70RECh. 9 - Prob. 71RECh. 9 - Prob. 72RECh. 9 - Prob. 73RECh. 9 - Prob. 74RECh. 9 - Prob. 75RECh. 9 - Prob. 76RECh. 9 - Prob. 77RECh. 9 - Prob. 78RECh. 9 - Prob. 79RECh. 9 - Prob. 80RECh. 9 - Prob. 81RECh. 9 - Prob. 82RECh. 9 - Prob. 83RECh. 9 - Prob. 84RECh. 9 - Prob. 85RECh. 9 - Prob. 86RECh. 9 - Prob. 87RECh. 9 - Prob. 88RECh. 9 - Prob. 89RECh. 9 - Prob. 90RECh. 9 - Prob. 91RECh. 9 - Prob. 92RECh. 9 - Prob. 93RECh. 9 - Prob. 94RECh. 9 - Prob. 95RECh. 9 - Prob. 96RECh. 9 - Prob. 97RECh. 9 - Prob. 98RECh. 9 - Prob. 99RECh. 9 - Prob. 100RECh. 9 - Prob. 101RECh. 9 - Prob. 102RECh. 9 - Prob. 103RECh. 9 - Prob. 104RECh. 9 - Prob. 105RECh. 9 - Prob. 106RECh. 9 - Prob. 107RECh. 9 - Prob. 108RECh. 9 - Prob. 109RECh. 9 - Prob. 110RECh. 9 - Prob. 111RECh. 9 - Prob. 112RECh. 9 - Prob. 113RECh. 9 - Prob. 114RECh. 9 - Prob. 115RECh. 9 - Prob. 116RECh. 9 - Prob. 117RECh. 9 - Prob. 118RECh. 9 - Prob. 119RECh. 9 - Prob. 120RECh. 9 - Prob. 121RECh. 9 - Prob. 122RECh. 9 - Prob. 123RECh. 9 - Prob. 124RECh. 9 - Prob. 125RECh. 9 - Prob. 126RECh. 9 - Prob. 127RECh. 9 - Prob. 128RECh. 9 - Prob. 129RECh. 9 - Prob. 130RECh. 9 - Prob. 131RECh. 9 - Prob. 132RECh. 9 - Prob. 133RECh. 9 - Prob. 134RECh. 9 - Prob. 135RECh. 9 - Prob. 136RECh. 9 - Prob. 137RECh. 9 - Prob. 138RECh. 9 - Prob. 139RECh. 9 - Prob. 140RECh. 9 - Prob. 141RECh. 9 - Prob. 142RECh. 9 - Prob. 143RECh. 9 - Prob. 144RECh. 9 - Prob. 145RECh. 9 - Prob. 146RECh. 9 - Prob. 147RECh. 9 - Prob. 148RECh. 9 - Prob. 149RECh. 9 - Prob. 150RECh. 9 - Prob. 151RECh. 9 - Prob. 152RECh. 9 - Prob. 153RECh. 9 - Prob. 154RECh. 9 - Prob. 1CACh. 9 - Describe the graph of a line with slope that is...Ch. 9 - Prob. 3CACh. 9 - Prob. 4CACh. 9 - Prob. 5CACh. 9 - Prob. 6CACh. 9 - Prob. 7CACh. 9 - Prob. 8CACh. 9 - Prob. 9CACh. 9 - Prob. 10CACh. 9 - Prob. 11CACh. 9 - Prob. 12CACh. 9 - Prob. 13CACh. 9 - Prob. 14CACh. 9 - Prob. 15CACh. 9 - Prob. 16CACh. 9 - Prob. 17CACh. 9 - Prob. 18CACh. 9 - Prob. 19CACh. 9 - Prob. 20CACh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 16PTCh. 9 - Prob. 17PTCh. 9 - Prob. 18PTCh. 9 - Prob. 19PTCh. 9 - Prob. 20PTCh. 9 - Prob. 21PTCh. 9 - Prob. 22PTCh. 9 - Prob. 23PTCh. 9 - Prob. 24PTCh. 9 - Prob. 25PTCh. 9 - Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 29PTCh. 9 - Prob. 30PTCh. 9 - Prob. 31PTCh. 9 - Prob. 32PTCh. 9 - Prob. 33PTCh. 9 - Prob. 34PTCh. 9 - Prob. 35PTCh. 9 - Prob. 36PTCh. 9 - Prob. 37PT
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