1. Determine one real root of2xcos2x - (x - 2)² = 0 on the interval(2, 3) using the Bisection Method. Do sixiterations.2. Using (a) Jacobi Iterative Method and (b)Gauss-Seidel Method, obtain the solution to[12x₂ + 3x₂ −5x3 = 1|3x₁ + 7x₂ +13x₂ = 76[x₁₂ + 5x₂ + 3x₂ = 28the systemwith[xº, x2, x²] = [1, 0, 1].Do four iterationsonly for each and compute for the relative erroron the fourth iteration.

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Answered: Determine one real root of

Math

Advanced Math

Determine one real root of

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.3: Quadratic Equations

Problem 81E

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Question

1. Determine one real root of
2xcos2x - (x - 2)² = 0 on the interval
(2, 3) using the Bisection Method. Do six
iterations.
2. Using (a) Jacobi Iterative Method and (b)
Gauss-Seidel Method, obtain the solution to
[12x₂ + 3x₂ −5x3 = 1
|3x₁ + 7x₂ +13x₂ = 76
[x₁₂ + 5x₂ + 3x₂ = 28
the system
with
[xº, x2, x²] = [1, 0, 1].Do four iterations
only for each and compute for the relative error
on the fourth iteration.

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