EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 68, Problem 20A
To determine
The ∠x dimensions are in inches.
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9.7 Given the equations
0.5x₁-x2=-9.5
1.02x₁ - 2x2 = -18.8
(a) Solve graphically.
(b) Compute the determinant.
(c) On the basis of (a) and (b), what would you expect regarding
the system's condition?
(d) Solve by the elimination of unknowns.
(e) Solve again, but with a modified slightly to 0.52. Interpret
your results.
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 68 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 68 - Determine the size of x to the nearest hundredth...Ch. 68 - Determine the length of side b. Round the answer...Ch. 68 - Write the cofunction of the complement of the...Ch. 68 - Prob. 4ACh. 68 - Find the area of this template. Round the answer...Ch. 68 - Determine the distance AB if CO = 19.8 mm.Ch. 68 - Solve the following exercises. For customary...Ch. 68 - Solve the following exercises. For customary...Ch. 68 - Solve the following exercises. For customary...Ch. 68 - Solve the following exercises. For customary...
Ch. 68 - Find gage dimension y. All dimensions are in...Ch. 68 - Find dimension x. All dimensions are in inches.Ch. 68 - Find x. All dimensions are in inches.Ch. 68 - Find y. All dimensions are in inchesCh. 68 - Find length x. All dimensions are in millimetersCh. 68 - Find y. All dimensions are in inchesCh. 68 - Find dimension x. All dimensions are in inchesCh. 68 - Find dimension y. All dimensions are in inchesCh. 68 - Find dimension y. All dimensions are in inchesCh. 68 - Prob. 20ACh. 68 - Find x. All dimensions are in inchesCh. 68 - Find dimension y. All dimensions are in inchesCh. 68 - Find dimension x. All dimensions are in inchesCh. 68 - Find y. All dimensions are in millimetersCh. 68 - Find dimension y. All dimensions are in inchesCh. 68 - Find dimension x. All dimensions are in inches.Ch. 68 - Find y. All dimensions are in inches.Ch. 68 - Find dimension x. All dimensions are in...Ch. 68 - Prob. 29ACh. 68 - Find y. All dimensions are in inchesCh. 68 - Find dimension y. All dimensions are in inches.Ch. 68 - Find dimension x. All dimensions are in inches.Ch. 68 - Find dimension x. All dimensions are in inches.Ch. 68 - Prob. 34ACh. 68 - Find x. All dimensions are in inchesCh. 68 - Find check dimension y. All dimensions are in...Ch. 68 - Find dimension y. All dimensions are in inches.Ch. 68 - Prob. 38A
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