Obtain the positive root of the equation 3r -V1+ sin(x) by iteration method with 3 decimal places accuracy.

Q: Find the root of equation Cosx- 2x =0 near to 1 using iteration method correct to 2 decimal places.

A:

Q: Use fixed pint iterative method to find the value of the estimated root in third iteration for the…

A: ∴x=x8-x5sin(x)+x2∴ϕ(x)=x8-x5sin(x)+x2x1=ϕ(x0)=ϕ(0.8)=-0.1178x2=ϕ(x1)=ϕ(-0.1178)=-0.0002x3=ϕ(x2)=ϕ(-0…

Q: Q3. Find the root of equation Cosx-2x = 0 near to 1 using iteration method correct to 2 decimal…

A:

Q: Estimate the root of 2 cosh x sin x 1, using the secant method, with an accuracy of 4dp. Take 0.4…

A: Image is attached with detailed 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: Find the smallest positive root of the function x²|Cos Vx| = 5 using the False-position method. Take…

A:

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

A:

Q: Approximate the root of the equation using False Position method. Show at least 7 iterations.…

A: TO approximate root of the given equation using false position method.

Q: Find the root of the function using Fixed-point Iteration. f (x) - x cos (x) - x?

A:

Q: Find a root of 3x + sin x – e* = 0 using Regula-Falsi method in the interval [0, 0.5] (perform 5 -…

A: Regular-Falsi method is a numerical method used to to calculate roots of a polynomial function. Its…

Q: Explain how the iteration formula for Newton’s method works.

A:

Q: Calculate the real root of f(x)=x^3-2x^2-2x-1.9 with the first iteration of Newton-Raphson method.…

A:

Q: Solve 4 sin 2x S1₁= 8 4 -1 -¹x³ + x²-x² +2 dx

A:

Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: Compute for a real root of sin Va – x = 0, Ousing three iterations of - Fixed-Point Iteration Method…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 1. Find a root of the following function using NR-method 38e-* + sin3x – 24 = 0 (4 iterations)

A:

Q: 2. Compute for a real root of 2 cos x- sin Vx 1. 4. accurate to 4 significant figures using…

A:

Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: 2. Compute for a real root of sin -x 0 using three iterations of Fixed- Point Iteration Method with…

A:

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: Use the simple iteration method to determine the root of Equation f (x) = x² + 10 cos x = 0 at…

A: Given equation:  f(x)=x2+10 cos⁡ x = 0, at distances (0, 1). f(0) = 0 + 10 cos 0 = 10 f(1) = 1 + 10…

Q: What is the positive root of the equation 6-z –1 = 0? Given xo = 1, x1 = 2. and Arn <0.0001 using…

A: The formula for the Secant method is x2 = x0-f(x0)×x1-x0f(x1)-f(x0)

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

A: Given: fx=ln3x-x2+2. We have to find the smallest positive root by using fixed-point method with…

Q: 2. Compute for a real root of Sin Vx – x = 0 using three iterations of Fixed-Point Iteration -…

A:

Q: Compute for a real root of sin x – x = 0using three iterations of Fixed-Point Iteration Method with…

A:

Q: 3- Find the smallest positive root of x -e*=0, correct to three decimal places, using (method of…

A:

Q: Solve using Euler’s Method. Approximate up to 5 decimal places.

A:

Q: Find the positive root of [x e* = 2 ] by the method of false position (show only 5 iterations).

A:

Q: Solve for a root/roots of the functions 2. x2 – 3 sin x + 2 In(x + 1) = 3. 5 Applying both a.…

A:

Q: Find the approximate root in 5th iterations of the function f (x) = x- 2x-5, xo 2.5 by x = V2x +5…

A:

Q: Use Newton's method to estimate the solution to sin(theta) = 1- theta/2 up to four iterations.

A: Given function is: f(θ)=sinθ+θ2-1 Rewriting function in other variable: f(x)=sin x+x2-1 Newton…

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: Use Fixed-point iteration or Newton-Raphson method to find the required root. Find the positive root…

A:

Q: .Find the smallest positive root of the function x2|Cos vx| = 5 using the False-position method.…

A:

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x)…

A: Let's find.

Q: use newtons method with an initial guess solution of 1 to find the next approximate solution to the…

A:

Q: Approximate the root of the equation x5 – 5x – 4 = 0, beginning xo = 1.6, and continuing until two…

A: For the solution of the problem follow the next step.

Q: Find a root of an equation f(x) = 0.842x²-x+ 0.2 using Newton Raphson method

A:

Q: Use Newton's method to find a root of x* – 5x³ + 9x + 3 = 0 accurate to 6 decimal places. Perform…

A: Newton method is generally known as Newton Raphson method. It is a iterative method to find the…

Q: 3- Find the smallest positive root of x-e=0, correct to three decimal places, using (method of False…

A: False Position Method : An algorithm for finding roots which retains that prior estimate for which…

Q: 1.) Determine the root of the equation by Fixed Point Iteration (Should converge at three decimal…

A: First we write x=g(x) then find convergent point.

Q: 2. Compute for a real root of sin √√√x - x = Ousing three iterations of Fixed-Point Iteration Method…

A: (2) Given sinx-x=0. The objective is to compute for a real root using three iterations of fixed…

Q: Find the root of x² – e-2* = 0 using simple fixed-point iteration starting at 1. Express the results…

A:

Q: Determine the root of the f(x) = e¬x – cosx that is nearest to x=r/2 using any open method and any…

A: To find - Determine the root of the fx = e-x - cosx that is nearest to x = π2 using any open method…

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

A:

Q: 2. Compute for a real root of 2 cos x - sin /x = 4 accurate to 4 significant figures using…

A:

Q: find the roots of the equation x*cos(x) = -1 In[-2,4] using bisection method with error = or less…

A: For the solution of the problem follow the next step.

Q: find all solution of z   sinh(2z)=-1

A: Consider the provided equation, sinh2z=-1 Find all solution of z. Apply the trigonometric…