Use the Gauss-Seidel iterative technique to find approximate solutions to 10x1 – x2 + 2x3 = 6, -x1 + 11x – x3 + 3x4 = 25, 2.x1 – x2 + 10x3 - X4 = -11, 3x2 - X3 + 8x4 = 15 starting with x = (0,0,0,0)' and iterating until ||x) – x*-1)||. < 10-3

Q: Differentiate and simplify: y= (3 – 4x)²* O a.y' = - 2(3 – 4x)²*-4x + (3 – 4x)In(3 – 4x)] Ob.y'= 2(3…

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Q: (4) 5x² +10x = 0 (Ans. -2,0)

A: 4)8)

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  =&gt;  x1 = x2 - 1  x12 + x22 = 4 =&gt;  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: Find the root of the equation X2 - 4= In X , use X0=1.000, Solve by Simple Iterative method.

A: Given equation is x2-4=ln(x) So, function is f(x)=x2-4-ln(x) Initial approximation is x0=1.000 Now…

Q: At what value of the parameter p does the equation |x^2 - 5x + 6| + |x^2 - 5x + 4| = p has four…

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Q: Solve 4xx = ut + tx u(x, 0) = 0

A: The provided partial differential equation (PDE) describes a transport phenomenon represented by the…

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: if y+z=10, then (10x+y)(10x+z)=100x(x+1)+yz?

A: It is given that y+z=10. Use multiplication of binomials to find the value of the following:…

Q: Determine the number of roots of the equation f(x) = In|x + 2x^2 - 5x + 1a for all real numbers a. -

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Q: 1/5x+1/7y=12/5 1/10x+1/3y=5/6 use elimination method or has dependent equation

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: I of the equat: nethod will b

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Q: When you plug in (0,0,0) into 7x - 5y + z = 0. It holds true, however, when you plug in (1,1,1) into…

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Q: After two iterations using the Method of Successive Substitutions, what is the root of f(x)= 3x +x'…

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Q: Solve for x (х+3)^2 О х^2 + 3x + 2 О 2х^2 + 3x + 2 О х^2 + 6х + 2 О х^2 + 6х + 9

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Q: Solve the equation In (5x + 7)- In (x + 2) = In (2x + 2) - In 1

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Q: in z 3D 2x, + 4х2 + 3x; Зх, + 2х2 + хз 0

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Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: x' - 5x = 6x ,2

A: x3-5x2=6x. To solve for x by factoring, first we will factorise this cubic polynomial.

Q: Express ƒ(z) = 4x² + i4y² by a formula involving the variables z and ž.

A: Let,

Q: When you substitute y''p and yp into the equation, where does the: 4Ccos(2x) and -4Dsin(2x) come…

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Q: In(7x – 1)= In(3x + 7)

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Find a particular solution to y' – 2y + y = -13.5e". Yp

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Q: (2x - 7x - 1) - (-2x + 3x- 4) Subtract 5x + 2x -1 from 4x +3

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Q: Find the value of X₁, X2 and X3 usin Method Gauss-Seidel and Gauss-Jacobi Provide the complete table…

A: Given: x1+2x2-x3=6x1-x2+2x3=-32x1-x2+x3=-1 To find: The values of x1, x2, x3 using Gauss-Seidel and…

Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: find an estimate of the root of the equation x3 + 2x – 4 = 0 using regula-falsi method. Perform…

A: Regula falsi method or False position method is one of the method used to find the approximate root…

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

Q: x3 – 2x? – 5 = 0, [1,4]

A: f(x) = x³ - 2 x ² - 5 , [1,4] f(1) = -6 &lt;0,  f(2) = -5 &lt;0, f(3) = 4 &gt;0, f(4) = 27 &gt;0…

Q: Solve for x. 5 12х — 7 - х — 7 x + 4 x2 – 3x — 28 - - - ||

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Q: Which of the following is a factor of the cubic expression x'-2r -5x+6? (1) x+1 (3) x-3 (2) x-2 (4)…

A: (x-3) is the factor of given equation.