MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 8, Problem 10PT
To determine
To solve: The proportion
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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 =
help (numbers)
x =
help (numbers)
Book: Section 1.6 of Notes on Diffy Qs
Chapter 8 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 8.1 - Evaluate:
Ch. 8.1 - Prob. 2LCCh. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Evaluate the formulas.
A = 4πr2 if π = 3.14 and r...Ch. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Evaluate the formulas.
CON Evaluate the formula...Ch. 8.1 - Evaluate the formulas.
ELEC Use the formula to...
Ch. 8.1 - Evaluate the formulas.
CAD/ARC Find the length of...Ch. 8.1 - Evaluate the simple interest formula I = PRT using...Ch. 8.1 - Evaluate the simple interest formula I = PRT using...Ch. 8.1 - Evaluate the simple interest formula I = PRT using...Ch. 8.1 - Evaluate the simple interest formula I = PRT using...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - BUS Using the markup formula, M = S − C, find the...Ch. 8.1 - Prob. 22ECh. 8.1 - Using the formula for the side of a square, , find...Ch. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - INDTEC According to Boyle’s law, if temperature is...Ch. 8.1 - Prob. 27ECh. 8.1 - Use the formula to find the number of cylinders...Ch. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Rearrange the formulas.
Solve S = C + M for C.
Ch. 8.1 - Rearrange the formulas.
Solve V = πr2k for h.
Ch. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Rearrange the formulas.
Solve S = 2πrh for h.
Ch. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Rearrange the formulas.
Solve for R.
Ch. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.2 - Prob. 1LCCh. 8.2 - Prob. 2LCCh. 8.2 - Solve the proportions. Round to four significant...Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.3 - Prob. 1LCCh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Solve using proportions. See Example 1.
AUTO A...Ch. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Solve using a constant of variation. See Example...Ch. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.4 - If it takes 5 hours for 3 workers to load a truck,...Ch. 8.4 - Solve using proportions. See Example 1.
AG/H Two...Ch. 8.4 - Solve using proportions. See Example 1.
INDTR The...Ch. 8.4 - Solve using proportions. See Example...Ch. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - The fan pulley and alternator pulley are connected...Ch. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 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 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8 - Prob. 1RECh. 8 - PFIN Find the rate if I = $2,484, P = $4,600, and...Ch. 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. 1CACh. 8 - Prob. 2CACh. 8 - Prob. 3CACh. 8 - Prob. 4CACh. 8 - Prob. 5CACh. 8 - Prob. 6CACh. 8 - Prob. 7CACh. 8 - Prob. 8CACh. 8 - Prob. 9CACh. 8 - Prob. 10CACh. 8 - Prob. 1PTCh. 8 - The formula for the volume (V) of a solid...Ch. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 21PTCh. 8 - Prob. 22PTCh. 8 - Prob. 23PTCh. 8 - Prob. 24PTCh. 8 - Prob. 25PTCh. 8 - Prob. 26PT
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