Using [x1 x2 x3] = [1 3 5]as the initial guess, the value of [xi x2 x3] after three iterations in Gauss-Seidel method for: 12 7 3 X1 2 1 5 1 X2 5 7 -11 x3 6. II

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: 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: maximize 2=QXi+ 5xgt 6x3+4x4 Jubject to (1) 6xx+3x2+ 5x3t 2xy sIO (2) (3) (4) X3+x4S I + X3 xj is…

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Q: 16 Solve the equation using Jacobi's method until 5 iterations. (Non-anonymous question (1) 5x₁ - x₂…

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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: In solving for the root of a single equation, the approximate value obtained after the third…

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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: 4a) Perform the first three iterations of secant method to solve for x, given p = 3 and K = 0.05.…

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Q: x"+5t(x')²+3x = 2t %3D x (0) = 3 x'(0) = 4 %3D At = 0.2 Use the Euler method with a time step of 0.2…

A: The given differential equation is,x''+5t(x')2+3x=2twith the initial condition x(0)=3 and x'(0)=4…

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: Evaluate e-0.5 x3 +• 3! x2 e-* = 1 – x + 2 Solve for the error criterion that ensures a result that…

A: The error bound for Taylor's series of n th degree about x=a for a function f(x) over the interval…

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: Q4/A: Find Fourier Series of the Function: f(x) = {- K (-K -<x<0 к 0 < x < n B: Solve the following…

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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: The seventh iteration k=6 of the secant method in solving the equation f(x) = x3-5x+3 resulted in x8…

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Q: ner method ation 3 on x² +

A: Given function is, x3+x2+xe+2x-1=0

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: W: Newton- Raphson Method x - x - x-1 = 0, Xo = 1.5 %3D

A: Since you have asked multiple questions we will solve the first question for you if you want any…

Q: Solve for the only positive value of x that satisfies the equation x-1= 1 == (1 - e-x) Using the…

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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: 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: While cramming for her МАТ examination, a Т student learns a large number of formulae. At a time x…

A: Apply the following theorem and the formula, to obtain the required result. The intermediate value…

Q: Determine the real root of f (x) = f (x) = 2x 3 -11.7x 2 + 17.7x - 5 a) Fixed-point iteration method…

A: To determine the root of the function f(x)=0 (a)Fixed point method :  obtain x=g(x) then using the…

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: 6.2 Determine the highest real rool of Rx) = 2r-11.7x + 17.7x- 5 (a) Graphically (b) Fixed-point…

A: Given: f(x)=2x3-11.7x2+17.7x-5 To find: Find the highest root of given function by a) Graphical…

Q: Q2: find the solution of x = 2x² - 2x-5 using fixed point iteration to the sixth %3D iteration

A: Simplify the function x=2x2-2x-5 by taking all the terms containing the variable x of degree 1 on…

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

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Q: 9. Evaluate the cquations below using the Gauss-seidel Method, at-least 5 iterations 3x + 2y + 4z 12…

A: Given equations are 3x+2y+4z=12x+5y+2z=-97x+2y+z=5The coefficient matrix of the given system is not…

Q: 5. Find the quadratic factors of: x4 1.1x³ +2.3x² + 0.5x + 3.3 = 0, using Bairstow's Method. Let the…

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Q: x" +5t(x')²+3x = 2t x (0) = 1 x'(0) = 4 %3D %3D At = 0.2 Use the Euler method with a time step of…

A: Consider the provided question, We have,  x''+5tx'2+3x=2tx0=1, x'0=4∆t=0.2Since,  x''+5tx'2+3x=2t⇒…

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: Evaluate e-0.5 using: x2 x3 e-x = 1-x+ 2 3! a. Solve for the error criterion that ensures a result…

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Q: 9) Ур H Asin(2t) + Bcos (2t) Q13) The general solution for y' a) = 3x² + c b) = y Q14) The solution…

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Q: The Newton Raphson method for approximating a root of a function f (x) uses the iteration formula If…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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: 6. Assume that f and f' have the values given in the table. Use Euler's Method with two equal steps…

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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: 2. Using the given in Example 1, solve using Gauss-Seidel Method.

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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…

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