1. Find the third approximation of the root of the function f(x) =x- Vx +1using the bisection method.

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: 2) Use the false position method to find a root of the equation ex + 2-x+ 2cos x = 6 in the interval…

A: Solution :_

Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

Q: The approximation of the root x' of the function f(x) = x³e* - 1 accurate to within 10-2 using…

A: In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac…

Q: 4) Use the fixed-point iteration method to estimate one of the roots of x2 = 2x + 3 with an accuracy…

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Q: i) Maktoum was using iterative methods to solve equations in MATLAB. For the equation f(x) = x³ + 5x…

A: According to the given information, it is required to approximate the third iteration according to…

Q: Use regular falsi method to find the root nearest the origin. Take fc=0.0000### [Use 6 decimal…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

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: When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0,…

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Q: 2. Find an estimate of the root of the equation: 2* + vx² +5=20 using regula-falsi method. Ans x:

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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: 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: The approximation of the root of the function f(x) = x³ +x – 2 accurate to 2 %3D - within 10-2 using…

A: We are asked to find the approximation of the root of the function using newton's method.

Q: Bisection method was used to determine a root for a function f(x), using initial interval (x1, xµ)…

A: Consider the given information. Let the Initial interval be (xl, xu) Then h=xl-xu Which is the…

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: When does f(x) = ln(x + sin2x), 0 < x < 2π have a local minimum?

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Q: 2. Determine the positive root of f (x) = x10 1 using NRM and an initial guess of 0.5.

A: Given: The function is fx=x10-1, with initial value 0.5. To determine: Positive root of the given…

Q: Find the root of equation by usung the newton raphson methode f(x) = 0.48x³ -2.7x-5.36

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Q: Find the root of the equation f (x) = x³ – x – 1 using Muller's Method. = 1, x2 = 2, x3 = 1.5. Stop…

A: According to Muller's method If initial guess of root is x0, x1 , x2 , then next approximation of…

Q: Find the roots at x = 3 of function f(x) = tanh (x² – 9) with an initial guess xo = 3.2 in three…

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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: 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: 1. What is the second iterative value of a root f(x) = x° - (7/2) + 2. starting interval [1.4, 1.5],…

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

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

Q: Bisection method (t=

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: f(x) = x2 - 2 = 0, x E[1.2]. 1- Compute the approximate roots of this equation, with using Bisection…

A: F(x)= x2-2=0 Find 3 iteration for f(x) using Bisection method

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: If Newton's method is used on f(x) = x³ – 2 starting with ro = 1, what is x2? What is the absolute…

A: Suppose f(x)=0 for some function f(x).Let xn is a root of f(x)=0 and f'(xn)≠0.Then the next root of…

Q: 1. While using bisection method to find the solution of the equation f(x)=x*+3x-2=0 on interval [0,…

A: The given equation is x4+3x-2=0 on the interval [0,1] find f(0) f(0)=04+3(0)-2=-2 therefore f(0)=-2…

Q: Find the smallest positive root by using fixed-point method f(x) = In(3x)– x² +2 with three…

A: we have f(x)=ln(3x)-x2+2=0 x2=ln(3x)+2x=ln(3x)+2using fixed point iterationxn+1=ln(3xn)+2take…

Q: The 2nd approximation to the real root of the equation x³ – x² – 1 in the interval [1, 2] using…

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Q: Tim Find the first approximation to the root of the equation -2x-5-0using Regular-Falsi method…

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

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Q: You’ll need a calculator to evaluate at least one of the endpoints and critical number(s). Here a…

A: Solve the following

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

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Q: For an equation like r 0, a root exists atx 0. The Bisection Method cannot be adopted to solve this…

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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: During an iteration of bisection method for solving f(x) = 0, we got f(2) = -6, f(-1) = 2 and f(-4)…

A: The equation in the form f(x)=0 is called a transcendental equation. Geometrically the solution of…

Q: (x) = 5sin2x

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Q: Find the root using newton raphson method for f(x) = sin(x) − x²

A: Given function is f(x)=sin(x)-x2 From the given equation, it is clear that 0 is one of the root of…

Q: i. Find the real root of the given function f(x) = e²x − x − 6 = 0 by Newton-Raphson iterative…

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Q: Use the Müller method to find the roots of the function f(x) x3-2x2 -5. Get the starting values as…

A: Given y=f(x)=x3-2x2-5, let x0=-1, x1=0, x2=1 y0=fx0=-13-2-12-5=-1-1-5=-8, y1=fx1=03-202-5=-5,…

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

A: Hi there!. You have asked multiple questions. As per our honor code, we will only answer the first…

Q: y у%3D х* + 8х — 1

A: Second derivative test to Find Maxima and Minima : Firstly , we can find critical points , f'(x) =0…

Q: Explain why Newtons method doesnt work for finding the root of the equation x³ – 3.x + 6 = 0 if the…

A: x3-3x+6=0 f(x)=x3-3x+6 f'(x)=ddxx3-3x+6=3x2-3 x0=1 --- Newton's method:- start with initial…