QUESTION 2Use the Gauss- Seidel method to solve the following system to a tolerance of ε = 0.001. Ifnecessary, rearrange the equations to achieve convergence (diagonally dominant).= -21.5x₁ + x₂ + 5x₂=10x, +2x₂x3 = 27-3x₁-6x₂ + 2x₂ = -61.5

Gauss- seidel method is an iteration method used to solve a system of linear equations. A set of n…

Answered: QUESTION 2 Use the Gauss- Seidel method…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Q1. (a) What is truncation error? Give one example. Estimate the i when x = 0.3456 × 10* and y = G.3454 × 10* as stored in a system with four digit mantissa. (b) Find a root of the equation x- – 4x = 0 using Bisection method (up to 5™ iteration only). %3D (c) Find the root of the equation x² - 3x + 2 = 0 in the vicinity of x = 0 using Newton-Raphson method.
Perform the exercise that is in the image, step by step to arrive at the result of what is requested in the 3 sections (a, b, c) Note: Solve step by step to arrive at the result of each of the items. Note2: Solve the 3 parts (a, b, c)
Step 2 of 3 : Using the model from the previous step, predict the company’s revenue for the 15th month. Round to four decimal places, if necessary. NOTE: Sum of X = 105Sum of Y = 9756Mean X =Mx = 7.5Mean Y=My = 696.8571Sum of squares (SSX) = 227.5Sum of products (SP) = 8132Regression Equation = ŷ = b0 + b1Xb1 = SP/SSX = 8132/227.5 = 35.74505b0 = MY - b1MX = 696.86 - (35.75*7.5) = 428.76923ŷ = 428.7692 + 35.7451X Hence the regression equation is ; Revenue = 428.7692 + 35.7451 (Month ) ( answer)
(12.1) SOLVE 30 KULTURT 2 x²y" + xy² + (1x² - 2) y = 0 BY BECIELS METHOD.
Find the second solution by reduction of order method.
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3.0 SOLVE BY Jacobis Method 2x + 9y = -1 4x + y = 15
Solvef(x) =x2−xcos(x) +14−sin2(x)4= 0,withx0=π2.(1) Does Newton’s method converge quadratically to the rootr=r1∈[0,1]? If not, explain why?(2) Find the multiplicity of the rootr=r1off(x).(3) Write out the Modified Newton’s Method such that we havequadratical convergence.

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QUESTION 2 Use the Gauss- Seidel method to solve the following system to a tolerance of ε = 0.001. If necessary, rearrange the equations to achieve convergence (diagonally dominant). x₁ + x₂ + 5x₂ = -21.5 10x, + 2x₂ - x₂ = 27 -3x₁-6x₂ + 2x₂ =-61.5