A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Chapter 4.4, Problem 14E
To determine
To add: The numerals in the indicated base.
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3. Determine the appropriate annihilator for the given F(x).
a) F(x) = 5 cos 2x
b) F(x)=9x2e3x
12.42 The steady-state distribution of temperature on a heated
plate can be modeled by the Laplace equation,
0=
FT T
+
200°C
25°C
25°C
T22
0°C
T₁
T21
200°C
FIGURE P12.42
75°C
75°C
00°C
If the plate is represented by a series of nodes (Fig. P12.42), cen-
tered finite-divided differences can be substituted for the second
derivatives, which results in a system of linear algebraic equations.
Use the Gauss-Seidel method to solve for the temperatures of the
nodes in Fig. P12.42.
9.22 Develop, debug, and test a program in either a high-level language or a macro
language of your choice to solve a system of equations with Gauss-Jordan elimination
without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the
program using the same system as in Prob. 9.18. Compute the total number of flops in
your algorithm to verify Eq. 9.37.
FIGURE 9.10
Pseudocode to implement the
Gauss-Jordan algorithm with-
out partial pivoting.
SUB GaussJordan(aug, m, n, x)
DOFOR k = 1, m
d = aug(k, k)
DOFOR j = 1, n
aug(k, j) = aug(k, j)/d
END DO
DOFOR 1 = 1, m
IF 1 % K THEN
d = aug(i, k)
DOFOR j = k, n
aug(1, j)
END DO
aug(1, j) - d*aug(k, j)
END IF
END DO
END DO
DOFOR k = 1, m
x(k) = aug(k, n)
END DO
END GaussJordan
Chapter 4 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Warm Up Exercises In Exercises 1-8, fill in the...Ch. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Practice The Skills In Exercises 9-14: write the...
Ch. 4.1 - Prob. 11ECh. 4.1 - Practice The Skills In Exercises 9-14: write the...Ch. 4.1 - Prob. 13ECh. 4.1 - Practice The Skills In Exercises 9-14: write the...Ch. 4.1 - Prob. 15ECh. 4.1 - In Exercises 15-20, write the numeral as an...Ch. 4.1 - Prob. 17ECh. 4.1 - In Exercises 15-20, write the numeral as an...Ch. 4.1 - Prob. 19ECh. 4.1 - In Exercises 15-20, write the numeral as an...Ch. 4.1 - Prob. 21ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 23ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 25ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 27ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 31ECh. 4.1 - In Exercises 21-32, write the Roman numeral as a...Ch. 4.1 - Prob. 33ECh. 4.1 - In Exercises 33-44, write the numeral as a Roman...Ch. 4.1 - Prob. 35ECh. 4.1 - In Exercises 33-44, write the numeral as a Roman...Ch. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - In Exercises 33-44, write the numeral as a Roman...Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - In Exercises 45-52, write the Chinese numeral as a...Ch. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - In Exercises 67-72, write the numeral as an Ionic...Ch. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Prob. 75ECh. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Prob. 79ECh. 4.1 - Prob. 82ECh. 4.1 - Which year in the past 2000 years required the...Ch. 4.2 - In Exercises 1-10, fill in the blanks with an...Ch. 4.2 - Prob. 2ECh. 4.2 - In Exercises 1-10, fill in the blanks with an...Ch. 4.2 - In Exercises 1-10, fill in the blanks with an...Ch. 4.2 - Prob. 5ECh. 4.2 - In Exercises 1-10. fill in the blanks with an...Ch. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Warm Up Exercises In Exercises 1-10, fill in the...Ch. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Exercises 21-26, write the Babylonian numeral...Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - In Exercises 33-38, write the Mayan numeral as a...Ch. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - In Exercises 33-38, write the Mayan numeral as a...Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Describe two ways that the Mayan place-value...Ch. 4.2 - Prob. 50ECh. 4.2 - Challenge Problems/Group Activities 51. a Write...Ch. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.3 - Warm Up Exercises In Exercises 14, fill in the...Ch. 4.3 - Warm Up Exercises In Exercises 14, fill in the...Ch. 4.3 - In Exercises 14, fill in the blanks with an...Ch. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 8ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 10ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Practice The Skills In Exercises 522, convert the...Ch. 4.3 - Prob. 22ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 26ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 32ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - Prob. 35ECh. 4.3 - In Exercises 2336, convert each of the following...Ch. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - Prob. 38ECh. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - Prob. 40ECh. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - In Exercises 3744, convert 2017 to a numeral in...Ch. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Problem Solving In Exercises 4548, assume the...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Problem Solving In Exercises 4548, assume the...Ch. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - In Exercises 4952, write the Hindu-Arabic numerals...Ch. 4.3 - Prob. 52ECh. 4.3 - In Exercises 5356, suppose colors as indicated...Ch. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - In Exercises 5760, write the Hindu-Arabic numerals...Ch. 4.3 - Prob. 58ECh. 4.3 - In Exercises 5760, write the Hindu-Arabic numerals...Ch. 4.3 - Prob. 60ECh. 4.3 - Another Conversion Method There is an alternative...Ch. 4.3 - Prob. 62ECh. 4.3 - Concept/Writing Exercises 63. a. What is 102 equal...Ch. 4.3 - Prob. 64ECh. 4.3 - Challenge Problems/Group Activities 65. Find b if...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Suppose a base 4 place-value system has its digits...Ch. 4.4 - Warm Up Exercises In Exercises 16, fill in the...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - In Exercises 718, add in the indicated base. 10.Ch. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.5 - In Exercises 14, fill in the blanks with an...Ch. 4.5 - In Exercises 14, fill in the blanks with an...Ch. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - In Exercises 2128, multiply using Napiers rods....Ch. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4 - In Exercises 14, write the Egyptian numeral as a...Ch. 4 - In Exercises 14, write the Egyptian numeral as a...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - In Exercises 3740, write the HinduArabic numeral...Ch. 4 - Prob. 40RECh. 4 - In Exercises 4144, write the Mayan numeral as a...Ch. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - In Exercises 6772, subtract in the base indicated....Ch. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - In Exercises 1618, perform the indicated...Ch. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Multiply 35 28, using duplation and mediation.Ch. 4 - Multiply 43 196, using lattice multiplication.
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