Basic College Mathematics With Early Integers (4th Edition)
4th Edition
ISBN: 9780135176931
Author: Elayn Martin-Gay
Publisher: PEARSON
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Chapter C, Problem 35E
To determine
An example of inductive reasoning.
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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 C Solutions
Basic College Mathematics With Early Integers (4th Edition)
Ch. C - Prob. 1PCh. C - Prob. 2PCh. C - Prob. 3PCh. C - Prob. 4PCh. C - Prob. 5PCh. C - Prob. 6PCh. C - Prob. 1ECh. C - Prob. 2ECh. C - Prob. 3ECh. C - Prob. 4E
Ch. C - Prob. 5ECh. C - Prob. 6ECh. C - Prob. 7ECh. C - Prob. 8ECh. C - Prob. 9ECh. C - Prob. 10ECh. C - Prob. 11ECh. C - Prob. 12ECh. C - Prob. 13ECh. C - Prob. 14ECh. C - Prob. 15ECh. C - Prob. 16ECh. C - Prob. 17ECh. C - Prob. 18ECh. C - Prob. 19ECh. C - Prob. 20ECh. C - Prob. 21ECh. C - Prob. 22ECh. C - Prob. 23ECh. C - Prob. 24ECh. C - Prob. 25ECh. C - Prob. 26ECh. C - Prob. 27ECh. C - Prob. 28ECh. C - Prob. 29ECh. C - Prob. 30ECh. C - Prob. 31ECh. C - Prob. 32ECh. C - Prob. 33ECh. C - Prob. 34ECh. C - Prob. 35ECh. C - Prob. 36ECh. C - Prob. 37ECh. C - Prob. 38ECh. C - Prob. 39ECh. C - Prob. 40ECh. C - Prob. 41ECh. C - Prob. 42ECh. C - Prob. 43ECh. C - Prob. 44ECh. C - Use diagrams and deductive reasoning to solve each...Ch. C - Prob. 46ECh. C - Prob. 47ECh. C - Prob. 48ECh. C - Prob. 49ECh. C - Prob. 50ECh. C - Prob. 51ECh. C - Prob. 52ECh. C - Prob. 53ECh. C - Prob. 54ECh. C - Prob. 1PFECh. C - Prob. 2PFECh. C - Prob. 3PFECh. C - Prob. 4PFECh. C - Prob. 5PFECh. C - Simplify by performing the indicated...Ch. C - Prob. 7PFECh. C - Prob. 8PFECh. C - Prob. 9PFECh. C - Prob. 10PFECh. C - Prob. 11PFECh. C - Prob. 12PFECh. C - Prob. 13PFECh. C - Prob. 14PFECh. C - Prob. 15PFECh. C - Note: Exercises 1–41 review operations with...Ch. C - Note: Exercises 1–41 review operations with...Ch. C - Prob. 18PFECh. C - Prob. 19PFECh. C - Prob. 20PFECh. C - Prob. 21PFECh. C - Prob. 22PFECh. C - Prob. 23PFECh. C - Prob. 24PFECh. C - Prob. 25PFECh. C - Prob. 26PFECh. C - Prob. 27PFECh. C - Prob. 28PFECh. C - Prob. 29PFECh. C - Prob. 30PFECh. C - Prob. 31PFECh. C - Prob. 32PFECh. C - Prob. 33PFECh. C - Prob. 34PFECh. C - Prob. 35PFECh. C - Prob. 36PFECh. C - Prob. 37PFECh. C - Prob. 38PFECh. C - Prob. 39PFECh. C - Prob. 40PFECh. C - Prob. 41PFECh. C - Prob. 42PFECh. C - Prob. 43PFECh. C - Prob. 44PFECh. C - Prob. 45PFECh. C - Prob. 46PFECh. C - Prob. 47PFECh. C - Prob. 48PFECh. C - Prob. 49PFECh. C - Prob. 50PFECh. C - Prob. 51PFE
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