MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 9.2, Problem 34E
To determine
The value of y when
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An improved method that is similar to Euler's method is what is usually called the Improved
Euler's method. It works like this:
Consider an equation y' = f(x, y). From (xn, Yn), our approximation to the solution of the
differential equation at the n-th stage, we find the next stage by computing the x-step
Xn+1 = xn +h, and then k1, the slope at (xn, Yn). The predicted new value of the solution
.
İs Zn+1 = Yn + h · k₁. Then we find the slope at the predicted new point
k₁ = f(xn+1, Zn+1) and get the corrected point by averaging slopes
h
Yn+1 = = Yn +
1½ ½
(k1 + k₂).
Suppose that we use the Improved Euler's method to approximate the solution to the
differential equation
dy
dx
= x - 0.5y,
y(0.5) = 9.
We let xo =
0.5 and yo 9 and pick a step size h = 0.25.
Complete the following table:
n xn Yn k1 Zn+1 k₂
0 0.59-48
-3.25
♡
<+
help (numbers)
The exact solution can also be found for the linear equation. Write the answer as a function
of x.
y(x) =
=
help (formulas)
Thus the actual value of the…
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The graph of the function f(x) is
1,0
(the horizontal axis is x.)
Consider the differential equation x' = f(x).
List the constant (or equilibrium) solutions to this differential equation in increasing order
and indicate whether or not these equalibria are stable, semi-stable (stable from one side,
unstable from the other), or unstable.
x =
help (numbers)
x =
help (numbers)
x =
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Book: Section 1.6 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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