X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up to 2 steps with 6 digit approximation.

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Q: Estimate the root of following nonlinear equation x – 2x – 1 = 0 using Newton-Raphson method…

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A: (3) Given that f(x)=3x2+ln2x-6,  x0=1 Using the newton raphson, xn+1=xn-f(xn)f'(xn) At n=0,…

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A: False root method: for given f(x) root=x2=x0-f(x0)⋅x1-x0f(x1)-f(x0)

Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…

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Q: 4) Solve using fixed-point iteration method to locate the root of f (x) = sin/x – x Use an initial…

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Q: 2. Find the root of f(x) = 2* +x³ – x = 0 by using Newton Raphson method with initial value po= -1,5…

A: Consider the provided question, fx=2x+x3-xWith initial value p0=-1.5  and…

Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

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Q: Give a detailed numerical example of the Aitken approximation method.

A: I have provided the solution with one example

Q: 1. Solve for the root using Fixed point method with initialguess of Tf = -100 Es =0.001%…

A: Since you have asked multiple question, so as per our guidelines we can solve first one only. For…

Q: Use the bisection method to numerically solve the nonlinear equation f(x) = 40x15 – 875x +35000 = 0…

A: Here, fx=40x1.5-875x+35000=0 in the interval [50 , 100}interval is given [50, 100] f(50)=5392.1356…

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A: Given that x2=2x+3 Now using fixed point iteration method x=2x+3ϕx=2x+3…

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Q: Solve the equation In(x +p)=x²+3x -2, correct to 6 digits, by: (1) Bisection method. (ii) Fixed…

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Q: 1) Use the bisection method to numerically solve the nonlinear equation f(x) = 40x15 – 875x +35000 =…

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Q: Find the real root of the equation x^5-x^4-x^3-1=0, Which lies between 1.4 and 1.5. correct to four…

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A: f(x)=ln(x) f'(x)=1/x f(1)=ln(1)=0 f'(1)=1/1=1 linear approximation is then L(x)=f(a)+(x-a)f'(a)…

Q: Find the positive root of x -cos x = 0by iteration and regulafalsi method.

A: In the Regula Falsi method, we have to use this formula  x2 = x0 - f(x0) . (x1 - x0)( (f(x1) -…

Q: i) Majid was using iterative methods to solve equations in MATLAB. For the equation f(x) = x-2x - 5…

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Q: 12 Show that the equation (5– 3x)i = x has a root in the interval (1,2) . By using the…

A: Step:-1 Newton Raphson Method:-  xn+1=xn-fxnf'xn Given that 5-3x13=x 5-3x13=x⇒5-3x13 -x =0 Take…

Q: 2. Solve cosx +3- 2x = 0, correct to three decimal places by using fixed point iteration method. %3D

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Q: Use Newton's method with initial guess x0 = 1 to compute two successful approximations of x3-2= 0.

A: Please see the answer below