DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Chapter 13.1, Problem 29ES
To determine
To calculate: The simplified form of the expression
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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
11.9 Recall from Prob. 10.8, that the following system of equations
is designed to determine concentrations (the e's in g/m³) in a series
of coupled reactors as a function of amount of mass input to each
reactor (the right-hand sides are in g/day):
15c3cc33300
-3c18c26c3 = 1200
-4c₁₂+12c3 = 2400
Solve this problem with the Gauss-Seidel method to & = 5%.
9.8 Given the equations
10x+2x2-x3 = 27
-3x-6x2+2x3 = -61.5
x1 + x2 + 5x3 = -21.5
(a) Solve by naive Gauss elimination. Show all steps of the compu-
tation.
(b) Substitute your results into the original equations to check your
answers.
Chapter 13 Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. 13.1 - Prob. 1SRCh. 13.1 - Prob. 2SRCh. 13.1 - Prob. 1DECh. 13.1 - Prob. 2DECh. 13.1 - Prob. 3DECh. 13.1 - Prob. 4DECh. 13.1 - Prob. 5DECh. 13.1 - Prob. 6DECh. 13.1 - Prob. 7DECh. 13.1 - Prob. 8DE
Ch. 13.1 - Prob. 1CCE1Ch. 13.1 - Prob. 2CCE1Ch. 13.1 - Prob. 3CCE1Ch. 13.1 - Prob. 1RCCh. 13.1 - Prob. 2RCCh. 13.1 - Prob. 3RCCh. 13.1 - Prob. 4RCCh. 13.1 - Prob. 1ESCh. 13.1 - Prob. 2ESCh. 13.1 - Prob. 3ESCh. 13.1 - Prob. 4ESCh. 13.1 - Prob. 5ESCh. 13.1 - Prob. 6ESCh. 13.1 - Prob. 7ESCh. 13.1 - Prob. 8ESCh. 13.1 - Prob. 9ESCh. 13.1 - Prob. 10ESCh. 13.1 - Prob. 11ESCh. 13.1 - Prob. 12ESCh. 13.1 - Prob. 13ESCh. 13.1 - Prob. 14ESCh. 13.1 - Prob. 15ESCh. 13.1 - Prob. 16ESCh. 13.1 - Prob. 17ESCh. 13.1 - Prob. 18ESCh. 13.1 - Prob. 19ESCh. 13.1 - Prob. 20ESCh. 13.1 - Prob. 21ESCh. 13.1 - Prob. 22ESCh. 13.1 - Prob. 23ESCh. 13.1 - Prob. 24ESCh. 13.1 - Prob. 25ESCh. 13.1 - Prob. 26ESCh. 13.1 - Prob. 27ESCh. 13.1 - Prob. 28ESCh. 13.1 - Prob. 29ESCh. 13.1 - Prob. 30ESCh. 13.1 - Prob. 31ESCh. 13.1 - Prob. 32ESCh. 13.1 - Prob. 33ESCh. 13.1 - Prob. 34ESCh. 13.1 - Prob. 35ESCh. 13.1 - Prob. 36ESCh. 13.1 - Prob. 37ESCh. 13.1 - Prob. 38ESCh. 13.1 - Prob. 39ESCh. 13.1 - Prob. 40ESCh. 13.1 - Prob. 41ESCh. 13.2 - Prob. 1SRCh. 13.2 - Prob. 2SRCh. 13.2 - Prob. 1DECh. 13.2 - Prob. 2DECh. 13.2 - Prob. 3DECh. 13.2 - Prob. 4DECh. 13.2 - Prob. 1RCCh. 13.2 - Prob. 2RCCh. 13.2 - Prob. 3RCCh. 13.2 - Prob. 4RCCh. 13.2 - Prob. 1ESCh. 13.2 - Prob. 2ESCh. 13.2 - Prob. 3ESCh. 13.2 - Prob. 4ESCh. 13.2 - Prob. 5ESCh. 13.2 - Prob. 6ESCh. 13.2 - Prob. 7ESCh. 13.2 - Prob. 8ESCh. 13.2 - Prob. 9ESCh. 13.2 - Prob. 10ESCh. 13.2 - Prob. 11ESCh. 13.2 - Prob. 12ESCh. 13.2 - Prob. 13ESCh. 13.2 - Prob. 14ESCh. 13.2 - Prob. 15ESCh. 13.2 - Prob. 16ESCh. 13.2 - Prob. 17ESCh. 13.2 - Prob. 18ESCh. 13.2 - Prob. 19ESCh. 13.2 - Prob. 20ESCh. 13.2 - Prob. 21ESCh. 13.2 - Prob. 22ESCh. 13.2 - Prob. 23ESCh. 13.2 - Prob. 24ESCh. 13.2 - Prob. 25ESCh. 13.2 - Prob. 26ESCh. 13.2 - Prob. 27ESCh. 13.2 - Prob. 28ESCh. 13.2 - Prob. 29ESCh. 13.2 - Prob. 30ESCh. 13.2 - Prob. 31ESCh. 13.2 - Prob. 32ESCh. 13.2 - Prob. 33ESCh. 13.2 - Prob. 34ESCh. 13.2 - Prob. 35ESCh. 13.2 - Prob. 36ESCh. 13.2 - Prob. 37ESCh. 13.2 - Prob. 38ESCh. 13.2 - Prob. 39ESCh. 13.2 - Prob. 40ESCh. 13.2 - Prob. 41ESCh. 13.2 - Prob. 42ESCh. 13.2 - Prob. 43ESCh. 13.2 - Prob. 44ESCh. 13.2 - Prob. 45ESCh. 13.2 - Prob. 46ESCh. 13.2 - Prob. 47ESCh. 13.2 - Prob. 48ESCh. 13.2 - Prob. 49ESCh. 13.2 - Prob. 50ESCh. 13.2 - Prob. 51ESCh. 13.2 - Prob. 52ESCh. 13.2 - Prob. 53ESCh. 13.2 - Prob. 54ESCh. 13.2 - Prob. 55ESCh. 13.2 - Prob. 56ESCh. 13.3 - Prob. 1SRCh. 13.3 - Prob. 2SRCh. 13.3 - Prob. 1DECh. 13.3 - Prob. 2DECh. 13.3 - Prob. 3DECh. 13.3 - Prob. 4DECh. 13.3 - Prob. 5DECh. 13.3 - Prob. 6DECh. 13.3 - 7. Solve the system
Ch. 13.3 - Prob. 8DECh. 13.3 - Prob. 9DECh. 13.3 - Prob. 10DECh. 13.3 - Prob. 11DECh. 13.3 - Prob. 1RCCh. 13.3 - Prob. 2RCCh. 13.3 - Prob. 3RCCh. 13.3 - Prob. 4RCCh. 13.3 - Prob. 5RCCh. 13.3 - Prob. 6RCCh. 13.3 - Prob. 1ESCh. 13.3 - Prob. 2ESCh. 13.3 - Prob. 3ESCh. 13.3 - Prob. 4ESCh. 13.3 - Prob. 5ESCh. 13.3 - Prob. 6ESCh. 13.3 - Prob. 7ESCh. 13.3 - Prob. 8ESCh. 13.3 - Prob. 9ESCh. 13.3 - Prob. 10ESCh. 13.3 - Prob. 11ESCh. 13.3 - Prob. 12ESCh. 13.3 - Prob. 13ESCh. 13.3 - Prob. 14ESCh. 13.3 - Prob. 15ESCh. 13.3 - Prob. 16ESCh. 13.3 - Prob. 17ESCh. 13.3 - Prob. 18ESCh. 13.3 - Prob. 19ESCh. 13.3 - Prob. 20ESCh. 13.3 - Prob. 21ESCh. 13.3 - Prob. 22ESCh. 13.3 - Prob. 23ESCh. 13.3 - Prob. 24ESCh. 13.3 - Prob. 25ESCh. 13.3 - Prob. 26ESCh. 13.3 - Prob. 27ESCh. 13.3 - Prob. 28ESCh. 13.3 - Prob. 29ESCh. 13.3 - Prob. 30ESCh. 13.3 - Prob. 31ESCh. 13.3 - Prob. 32ESCh. 13.3 - Prob. 33ESCh. 13.3 - Prob. 34ESCh. 13.3 - Prob. 35ESCh. 13.3 - Prob. 36ESCh. 13.3 - Prob. 37ESCh. 13.3 - Prob. 38ESCh. 13.3 - Prob. 39ESCh. 13.3 - Prob. 40ESCh. 13.3 - Prob. 41ESCh. 13.3 - Prob. 42ESCh. 13.3 - Prob. 43ESCh. 13.3 - Prob. 44ESCh. 13.3 - Prob. 45ESCh. 13.3 - Prob. 46ESCh. 13.3 - Prob. 47ESCh. 13.3 - Prob. 48ESCh. 13.3 - Prob. 49ESCh. 13.3 - Prob. 50ESCh. 13.3 - Prob. 51ESCh. 13.3 - Prob. 52ESCh. 13.3 - Prob. 53ESCh. 13.3 - Prob. 54ESCh. 13.3 - Prob. 55ESCh. 13.3 - Prob. 56ESCh. 13.3 - Prob. 57ESCh. 13.3 - Prob. 58ESCh. 13.3 - Prob. 59ESCh. 13.3 - Prob. 60ESCh. 13.3 - Prob. 61ESCh. 13.3 - Prob. 62ESCh. 13.3 - Prob. 1MCRCh. 13.3 - Prob. 2MCRCh. 13.3 - Prob. 3MCRCh. 13.3 - Prob. 4MCRCh. 13.3 - Prob. 5MCRCh. 13.3 - Prob. 6MCRCh. 13.3 - Prob. 7MCRCh. 13.3 - Prob. 8MCRCh. 13.3 - Prob. 9MCRCh. 13.3 - Prob. 10MCRCh. 13.3 - Prob. 11MCRCh. 13.3 - Prob. 12MCRCh. 13.3 - Prob. 13MCRCh. 13.3 - Prob. 14MCRCh. 13.3 - Prob. 15MCRCh. 13.3 - Prob. 16MCRCh. 13.3 - Prob. 17MCRCh. 13.3 - Prob. 18MCRCh. 13.3 - Prob. 19MCRCh. 13.3 - Prob. 20MCRCh. 13.3 - Prob. 21MCRCh. 13.3 - Prob. 22MCRCh. 13.3 - Prob. 23MCRCh. 13.3 - Prob. 24MCRCh. 13.3 - Prob. 25MCRCh. 13.3 - Prob. 26UTDWCh. 13.3 - Prob. 27UTDWCh. 13.3 - Prob. 28UTDWCh. 13.3 - Prob. 29UTDWCh. 13.4 - Prob. 1SRCh. 13.4 - Prob. 2SRCh. 13.4 - Prob. 1DECh. 13.4 - Prob. 2DECh. 13.4 - Prob. 3DECh. 13.4 - Prob. 4DECh. 13.4 - Prob. 5DECh. 13.4 - Prob. 1RCCh. 13.4 - Prob. 2RCCh. 13.4 - Prob. 3RCCh. 13.4 - Prob. 4RCCh. 13.4 - Solve. Assignments. The professor teaching...Ch. 13.4 - Prob. 2ESCh. 13.4 - Prob. 3ESCh. 13.4 - Prob. 4ESCh. 13.4 - Prob. 5ESCh. 13.4 - Prob. 6ESCh. 13.4 - Prob. 7ESCh. 13.4 - Solve.
8. Basketball Scoring. Tony Parker of the...Ch. 13.4 - Prob. 9ESCh. 13.4 - Prob. 10ESCh. 13.4 - Prob. 11ESCh. 13.4 - Prob. 12ESCh. 13.4 - Prob. 13ESCh. 13.4 - Prob. 14ESCh. 13.4 - Prob. 15ESCh. 13.4 - Prob. 16ESCh. 13.4 - Prob. 17ESCh. 13.4 - Solve. Coffee Blends. The Java Joint wishes to mix...Ch. 13.4 - Prob. 19ESCh. 13.4 - Prob. 20ESCh. 13.4 - Prob. 21ESCh. 13.4 - Prob. 22ESCh. 13.4 - Prob. 23ESCh. 13.4 - Prob. 24ESCh. 13.4 - Prob. 25ESCh. 13.4 - Prob. 26ESCh. 13.4 - Prob. 27ESCh. 13.4 - Prob. 28ESCh. 13.4 - Prob. 29ESCh. 13.4 - Prob. 30ESCh. 13.4 - Prob. 31ESCh. 13.4 - Prob. 32ESCh. 13.4 - Prob. 33ESCh. 13.4 - Prob. 34ESCh. 13.4 - Prob. 35ESCh. 13.4 - Prob. 36ESCh. 13.4 - Prob. 37ESCh. 13.4 - Prob. 38ESCh. 13.4 - Prob. 39ESCh. 13.4 - Prob. 40ESCh. 13.4 - Prob. 41ESCh. 13.4 - Prob. 42ESCh. 13.4 - Prob. 43ESCh. 13.4 - Prob. 44ESCh. 13.4 - Prob. 45ESCh. 13.4 - Prob. 46ESCh. 13.4 - Prob. 47ESCh. 13.4 - Prob. 48ESCh. 13.4 - Prob. 49ESCh. 13.4 - Prob. 50ESCh. 13.4 - Prob. 51ESCh. 13.4 - Prob. 52ESCh. 13.4 - Prob. 53ESCh. 13.4 - Prob. 54ESCh. 13.4 - Automobile Maintenance. An automobile radiator...Ch. 13.4 - Prob. 56ESCh. 13.4 - Prob. 57ESCh. 13.5 - Prob. 1SRCh. 13.5 - Prob. 2SRCh. 13.5 - Prob. 1DECh. 13.5 - Prob. 2DECh. 13.5 - Prob. 3DECh. 13.5 - Prob. 4DECh. 13.5 - Prob. 1TFSCh. 13.5 - Prob. 2TFSCh. 13.5 - Prob. 3TFSCh. 13.5 - Prob. 4TFSCh. 13.5 - Prob. 5TFSCh. 13.5 - Prob. 6TFSCh. 13.5 - Prob. 7TFSCh. 13.5 - Prob. 8TFSCh. 13.5 - Prob. 9TFSCh. 13.5 - Prob. 10TFSCh. 13.5 - Prob. 1RCCh. 13.5 - Prob. 2RCCh. 13.5 - Prob. 3RCCh. 13.5 - Prob. 4RCCh. 13.5 - Prob. 1ESCh. 13.5 - Solve. In Exercises 1-6, complete the chart to aid...Ch. 13.5 - Prob. 3ESCh. 13.5 - Prob. 4ESCh. 13.5 - Prob. 5ESCh. 13.5 - Prob. 6ESCh. 13.5 - Prob. 7ESCh. 13.5 - Prob. 8ESCh. 13.5 - Prob. 9ESCh. 13.5 - Prob. 10ESCh. 13.5 - Prob. 11ESCh. 13.5 - Prob. 12ESCh. 13.5 - Prob. 13ESCh. 13.5 - Prob. 14ESCh. 13.5 - Prob. 15ESCh. 13.5 - Prob. 16ESCh. 13.5 - Prob. 17ESCh. 13.5 - Prob. 18ESCh. 13.5 - Prob. 19ESCh. 13.5 - Prob. 20ESCh. 13 - Complete each statement with the correct term from...Ch. 13 - Prob. 2VRCh. 13 - Prob. 3VRCh. 13 - Prob. 4VRCh. 13 - Prob. 5VRCh. 13 - Prob. 6VRCh. 13 - Prob. 1CORCh. 13 - Prob. 2CORCh. 13 - Prob. 3CORCh. 13 - Prob. 4CORCh. 13 - Prob. 1SGPECh. 13 - Prob. 2SGPECh. 13 - Prob. 3SGPECh. 13 - Prob. 4SGPECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Rectangle Dimensions....Ch. 13 - Prob. 24RECh. 13 - Solve. [ 13.2c ],[ 13.4a ] Window Cleaner. Clear...Ch. 13 - Solve. [ 13.2c ],[ 13.4a ] Weights of Elephants. A...Ch. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Solve.
32. Air Travel. An airplane flew for 4 hr...Ch. 13 - Solve. [ 13.5a ] Car Travel. One car leaves...Ch. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Ancient Chinese Math Problem. Several ancient...Ch. 13 - Prob. 1UTDWCh. 13 - Prob. 2UTDWCh. 13 - Prob. 3UTDWCh. 13 - Discuss the advantages of using a chart to...Ch. 13 - Prob. 1TCh. 13 - Prob. 2TCh. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Prob. 8TCh. 13 - Prob. 9TCh. 13 - Prob. 10TCh. 13 - Solve.
11. Mixture of Solutions. Solution A is 25%...Ch. 13 - Prob. 12TCh. 13 - Solve.
13. Carnival Income. A traveling carnival...Ch. 13 - Prob. 14TCh. 13 - Prob. 15TCh. 13 - Prob. 16TCh. 13 - Prob. 17TCh. 13 - Prob. 18TCh. 13 - Prob. 19TCh. 13 - Prob. 20TCh. 13 - Prob. 21TCh. 13 - Prob. 22T
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