Using [x1 x2 x3] = [1 3 5] as the initial guess, the value of [x1 x2 x3] after three iterations in Gauss-Seidel method for: 12 7 3 2 1 5 1 x2 = -5 2 7 -11 x3 6.

Q: 1. The next iterative value of the root of (X2-4 = 0) using the Newton-Raphson method, if the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the following equation by Gauss-Seidel Method up to 2 iterations and find the value of V…

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Q: In solving IVP numerically, Euler method does not give high accuracy with large step-size h. Select…

A: By finding the error in euler method, we get the answer.

Q: 1. Calculate the value of x, y and z. (Use Jacobi Iteration) • 5x- 2y + 3z = -1 -3x + 9y + z = 2 2x…

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Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

A: Correct option is option (a) 0.80155

Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

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Q: 1. Given the function f (x) = 5x2 - x - 2, Determine the approximate root of the %3D function and…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Implement the Gauss-Jacobi Method. Iterate until the Relative True Error is less than 0.00001. Start…

A: x1k+1 = 11315-6x6k-7x7kx2k+1 = 11318-2x3k-2x4k-2x5k-3x6kx3k+1 = -1181+x1k-4x4k-4x5k-3x6k+4x7kx4k+1…

Q: Solve the following equation by Gauss-Seidel Method up to 3 iterations and find the value of…

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Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

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Q: Apply the Jacobi method to solve. Iteration is to be stopped if either one of the required values…

A: Given the equations  5x1-2x2+3xn=-1-3x1+9x2+xn=22x1-x2-7xn=3

Q: 12 7 3 22 1. For| 1 5 1 x, = 7 and using x, x, x3=1 2 1 as the initial guess, give the 2 7 -11 || X3…

A: We can solve this from given data

Q: Q2: Find value X1,X2,X3 by Gauss method when : 2X1+4X2+5X3=-1 3X1+6X2+2X3=3 4X1+5X2+3X3=4

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Q: 1. Find the root of f(x)=x²+2x²-5x-6, using the initial guesses of x₁ = -4.5 x=-1.0 and a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: solve for the unknown terms by the method of: 4 -1 1 100 X1 X2 X3 X4 100 100 100 100 -1 4 -1 1 -1 4…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k4 needed in the…

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Q: Solve the following equation by Gauss-Seidel Method up to 2 iterations and find the value of (…

A: We have to find solution by Guass Seidel Method.

Q: (10) (2 1 1) %3D If A = 3 2 3, find A-1 by Gauss-Jordan method.

A: To find- If A = 211323149, find A-1 by Gauss-Jordan method.

Q: 4. Using [1,3, 5]' as the initial guess, find the value of_r1, T2, X3]' after three [12 7 3…

A: Solution: The equations are 12x1+7x2+3x3=2 x1+5x2+x3=-5 2x1+7x2-11x3=6 From the above equations…

Q: 4. Using Muller's Method, solve a root of the equation, F(x) = 0.0074x* – 0.284x3 +3.355x² – 12.183x…

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Q: Using JACOBI ITERATION and GAUSS-SEIDEL METHOD solve the variables x y and z in just 8th iteration…

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Q: 10 -1 27 -3 -6 x2 -61.5 1 1 5 x3 -21.5 2.

A: Given :   Matrix equations is given.

Q: 4. Find the multiple root of f(x) = x' -9x² +24x – 20 with an initial guess of x1 = 0.5 using…

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Q: Using [x1 x2 x3] = [1 3 5]as the initial guess, the value of [xi x2 x3] after three iterations in…

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Q: 10x1 + 2x2 + x3 = 13 X1 + 10x2 + 2x3 = 13 2x1 + x2 + 10x3 = 13 What is the (x1,x2, X3) values by…

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Q: Q4: Use the Gauss-Seidel iterative technique to find approximate solutions to 10x1 - x2 +2x3 -X1…

A: Given:-10x1-x2+2x3=6-x1+11x2-x3+3x4=252x1-x2+10x3-x4=-11       3x2-x3+8x4=15Starting with x0=0,0,0,0…

Q: Using [x1 x2 x3] = [1 3 5] as the initial guess, the value of [x1 x2 x3] after three iterations in…

A: Gauss Seidel Method to find out the solution of system of equations. Let  us rewrite the system of…

Q: carry out one step of the Euler method and of the improved Euler method, using the step size h =…

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Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

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Q: b) For n=5, calculate by applying Simpson's 1/3 and 3/8 rule together. Analytical Also get the…

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Q: Differentiating (2x – 1)" with respect to x leads to - n=0 а. 2 2n(2x + 2)"-1 n=1 O b. ∞ С. (2x –…

A: We have to find Derivatives of given Summation.

Q: The update of the individual values in Gauss-Seidel method is?  a. per the iteration b.after two…

A: The update of the individual values in Gauss-Seidel method is per the iteration.

Q: (b) Fourth-order Adam's Method Use previously computed values at ri-3 = -2.306160, yi-1 =-0.3929953,…

A: Given differential equation is dydx=4e0.8x-0.5y with initial condition y(x0)=2, 0≤x≤4 step size h=1…

Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1…

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Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

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Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

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Q: x = (2x² + 100000)/1200. Applying five decimal place rounding in all calculations, the fourth…

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Q: Q2: find the solution of x = 2x – 2x – 5 using fixed point iteration to the sixth | iteration

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Q: C. By choosing a1=0.25, the formula of second order Runge-Kutta method can be written as:

A: The Runge Kutta method is used to solve the ordinary differential equations. The second-order method…

Q: 4x1 +2x2 + X3 = 11 -X1 + 2x2 = 3 2x1 +X2 + 4x3 = 16 The first iteration by using Gauss-Seidel method…

A: Given system of equations are: And initial approximation

Q: if 3 = f ( x ) = x2 - 4sinx , x then x1 according to Newton-Raphson method a) 2.152 b) 7.361 c) -3…

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Q: 12 7 3 22 For 1 5 2 7 -11 || X3 1 7 and using [x, x, x3]=[1 2 1] as the initial guess, give the - 2…

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Q: Using [x x2 x3] = [1 3 5] as the initial guess, the value of [xi x2 x3] after three iterations in…

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Q: 2. Solve by Newton Raphson method. (5 iterations) x + In x = 2, Xo = 2 %3D

A: As you post multiple questions According to guidelines I only solve the first problem, please post…

Q: 6. Approximate the solution to the following set of equations using iterative procedure and using…

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Q: [12 7 3 [227 For 1 5 | 2 7 -11||X3 1 7 and using [x x x]= [1 2 1] as the initial guess, give the…

A: The Given set of equations are 12x1+7x2+3x3=22x1+5x2+x3=72x1+7x2-11x3=-2 and the given initial…

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: Using Jacobi iteration and Gauss-Seidel Method solve the variables x y and z in just 8th iteration…

A: Given Equations,2x-4y-3z=8.993x+6y+5z=-15.275x+5y-4z=5.11 From the above equations,xk+1…

Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

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