numerical solutions to ce problems Given the following simultaneous equations:-2x1+ 2x2 + 9x3 + 1x4 + -1 = 05x1 + -1x2 + -5x3+ 5x4 + -7 = 03x1 + -1x2 + 3x3 + 1x4 + -6 = 05x1 + -10x2 + 10x3+ 1x4 + 10 = 0Solve using Gauss-Seidel Method with relaxation factor 0.3. Use a tolerance of 0.0000001.

For better understanding, we use a, b, c and d at place of x1, x2, x3 and x4, respectively.

Answered: Given the following simultaneous…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Subtract 1.2a“ – 0.7a from the sum of 0.6 a4 + 1.5a and 0.4 a4 - 1.1a First, we will translate the words of the problem into mathematical symbols. Then we will perform the indicated operations. The words of the problem contain the key phrases subtract from and sum. Since 1.2a4 – 0.7a is to be subtracted from the sum, the order must be reversed when we translate to mathematical symbols. Subtract 1.2a4 0.7a from the sum of 0.6a + 1.5a and 0.4a4 1.1a. [(0.6 a4 + 1.5a) + (0.4 at – 1.1a) ] - (1.2a* – 0.7a) Use brackets [ ] to enclose the sum. Next, we remove the grouping symbols to obtain 0.6 a4 + 1.5a + 0.4 at – 1.1a -1.2a4 + 0.7a Change the sign of each term within (1.2a4 - 0.7a) and drop the parentheses. at+ a Combine like terms. %D Subtract -0.6q? – 0.6q from the sum of 0.1q? - 0.6q and 0.3q² + 0.1q.
Solve the 2 problems
Question 22 z+9z²-2z²+19z-8 dr (z²+4)²
Problem 3: Determine the number of non-negative integer solutions of equation a +b+ c+d = 41 that satisfy the following conditions: 7 10, c > 8 and d > 10. The solution must be a specific number. You must show your work.
If a and ß are the roots of the equation x² – 3x + 4 = 0, the equation whose roots are a? + a + 1 and B² + B + 1 is (a) x' - 6x + 19 = 0 (b) х? + 6х - 37 %3D 0 (c) x' + 6x - 19 = 0 (d) x² - 6x + 37 = 0 If a, and B, are the roots of the equation 3x? - 2x – 5 = 0 and a, and B, are the roots of the equation 2x² + x - 7 = 0, the equation whose roots are (a,a, + B,B,) and (a,ß, + a,B,) is (a) 36x? – 12x + 911 = 0 (b) 9х* - 91х + 11 %3D0 (c) 36x? + 12x - 911 = 0 (d) 9x² + 91x – 19 = 0 3x-2 If a and B are the roots of the equation 7X- 3 5x 1 = 4, 1 is
Question 1 y -3 2 -5 -4 -3 -2 -1 -1 3 -2 -3 4.

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Given the following simultaneous equations: -2x1 + 2x2 + 9x3 + 1x4 + -1 = 0 5x1 + -1x2+ -5x3+5x4 +-7 0 3x1 + -1x2 + 3x3 + 1x4 + -6 = 0 5x1 + -10x2 + 10x3+ 1x4+ 10 = 0 Solve using Gauss-Seidel Method with relaxation factor 0.3. Use a tolerance of 0.0000001.