I Pind the root of the function byusing Newton- Raphson method) with Xo1,where fcx> = x²_5x +6

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

A: (a) The given equation is f(x)=x4-2x-1=0 find the derivative f'=4x3-2 initial guess x0=-1…

Q: in the interval [0, 1]. Use the method until successive approximations obtained by a calculator are…

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Q: Find a root of the set of equations around the point x0 = 0.6, y0 = 1.5 by the Newton-Raphson method…

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Q: Q2: Find a root of x - 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: Solution :-

Q: Explain why Newton’s method doesn’t work for finding the  root of the equation x3 - 3x + 6 = 0 if…

A: Given: The equation x3-3x+6=0, To determine: The reason why Newton's method doesn't work for finding…

Q: Find the smallest positive root for the given function by using secant method. S(x) = 4 In(x') – x²…

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Q: f(x) Vx+1

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Q: Determine the root of the equation x3 – e–x  + 4 by two open methods and round-off your answers to 3…

A: The given equation is: fx=x3-e-x+4 Two open methods are: Newton's method Secant method

Q: The number of iterations in Secant Method are less as compared to Newton Raphson. A True B) False

A: Given that The number of iterations in Secant Method are less as compared to Newton Raphson.

Q: The number of iterations in Secant Method are less as compared to Newton Raphson. O True False

A: TRUE

Q: Determine the real root of f(x)=5x3-2x2+3x-1. Iterate until the estimated error falls equal to or…

A: Given that:f(x)=5x3-2x2+3x-1

Q: Q1)) Find the root of f(x) =x – 3 by False position method with the interval [1,2], for three…

A: Given :  f(x) = x2 - 3  Here x2-3=0  Let f(x)=x2-31st iteration :Here f(1)=-2<0 and f(2)=1>0∴…

Q: Determine the real root of f(x) = 3x^3 + 2x + 6. Iterate until the estimated error falls equal or…

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Q: Find one of the roots of function f(x)=x5-14 by applying Newton-Rhapson Method twice. Initial point…

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Q: Use Newton’s method to find an approximate solution of xex = 1. Start with x0 = 0 and find x2.

A: Given equation:

Q: Use the false position method to find a root of the equation (e power x) +(2 power −x) + 2cos x = 6…

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Q: 2. Find an estimate of the root of the equation: 2* + Vx² +5 =20 using regula-falsi method. Ans

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Q: What happens in Newton’s Method if your initial guess happens to be a zero of f ?

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Q: If Newton's method is used to find a root of f(x) = (x – 3)7 = 0, -

A: In this question, we have to check the convergence for a given  function  by newton method.…

Q: Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with…

A: Here 3sin(x)=x∴3sin(x)-x=0Let f(x)=3sin(x)-x ∴f′(x)=3cos(x)-1 x1=2 1st iteration…

Q: Find the approximate root of function f (x) = 0.48x³ - 2.7x - 5.36 by using the newton raphson…

A: Given function fx=0.48x3-2.7x-5.36             ……………………1 Initial guess x0=3.5

Q: Find a root of an equation f(x)=2x3-2x-5 using Newton Raphson method

A: We will find out the required root.

Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

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Q: Use the Newton-Raphson Method to approximate the root of f(x) = 2 cos(x) – 2x + 1.

A: Newton Raphson method: numarical methods

Q: Find the rod of greatest length that can be inserted between y= square root of x and y=x^3…

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Q: The Newton-Raphson method is used to find the roots of the equation: Ax) = x – cosTX ; Osxs1 If the…

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Q: Find the root of equation by using muller method

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Q: : Find a root of x- 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that the…

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Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

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Q: Suppose you use newtons method with x1=2 to estimate a solution to x3=2x+1. What is x3?

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Q: Consider the function f(x) = x³ + 2x + 5. Estimate the root to eight significant digits using Newton…

A: The general form of an equation of degree 3 is given by ax3+bx2+cx+d=0, where a≠0. In this problem,…

Q: Find one of the roots of the function using Regula-Falsi method. £ (x) = x- V+1

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Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

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Q: a. e¯* – 3logx = 0 ||

A: Consider the given function as, fx=e-x-3logx Let root lie between 1 and 2 First find f1 and f2…

Q: 2. Estimate the root of the expression, f (x) = 8 – 4.5(x – sin x), using False-Position Method in…

A: Here f(x)=8-4.5⋅(x-sin(x)) 1st iteration :Here f(2)=3.091838>0 and f(3)=-4.86496<0∴ Now, Root…

Q: Use Secant method with p0 =1, p2 = 1.2 to find the root of f(x)= Inx - cosx that is accurate to…

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Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: Use Newton's method to estimate the smallest positive root of f(x)=-xr+2x² -5x+1.

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Q: What is the value of x in the 4th iteration of Newton-Raphson method with initial guess of x=2. F(x)…

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Q: Approximate the root of g(x) = 2 + x – eª between 1 and 2 to within 0.05 of the exact value using…

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Q: 3. Find x, of the root of equation f(x) =x² - e* , using Newton Raphson method by taking x, = -1 […

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Q: Estimate the root of the expression, f(x) = x* – 4x, using: a. Bisection Methodin the interval [0,2]…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Use Newton's method to estimate the one real solution of x° + 3x + 1 = 0. Start with x, = 0 and then…

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Q: Find atleast three approximations of a solution of the equation f(x) = x – 2x = 0 by Newton Rampson…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)

A: We need to find the orthogonal trajectories of the function y=x+ce-x, which is passing through (-2,…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.