Answered: Do 2-iterations of the Fixed point…

Do 2-iterations of the Fixed point method for finding a root of the equation x^3=sinx, x>0, , start with x_0=1 The root is . * O 1.000 O 0.9321 O 0.36788 0.6922 O None of them

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

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: 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: Find root of the equation (2x=cos x+3) correct to three decimal places using iteration method

Q: a" + 4a = eIn sin2 20

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

Q: Using Newton's method, the approximation of the root x of f(x) = 2 – x² – co within 10 starting with…

Q: Locate the approximate root of cos(x) – xe* = 0 using fixed point method, stop with the iteration if…

Q: Use Newton Raphson method to obtain a root to 3 decimal places 1. x^3-5x+3=0 2. sinx=1-x

Q: Determine the solution of the equation 8-4.5(x-sinx)=0 by using the bisection method. Use & = 0.5%.…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: 4. Determine exact values of 0 if 0 < 0s 2n given that tano - V3. Explain your process.

Q: Use Newton Raphson method to obtain a root to 3 decimal places : sinx=1-x

Q: caclulate root of the equation by using newtin raphson method by giving the smallest positive…

A: Given equation is 2cosx+x2-3=0 (i) Let fx=2cosx+x2-3 f1=-0.9194<0f2=0.1677>0…

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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

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

Q: Find root by using Newton Raphson method, x-sinx/4-1/2=0,with x_o=0.5

A: Finding the root equation f(x)=0. Take the initial approximation x=x0 First approximation is given…

Q: Using Newton Raphson method, do 4 iterations to find a positive root for f(x)=sin(x)-x² starting…

Q: determine its root using newton-raphson method. Start at x1 = 0 and carry out the first 5…

Q: Use Newton’s method to find all the roots of theequation correct to eight decimal places. Start by…

Q: 9 coshx - 5 sinhx = 15

A: Note the following result : cosh x=ex+e-x2 sinh x=ex-e-x2 . In above formula , x∈ℝ . To solve the…

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

A: We will use Newton Raphson method to find the positive root of x2-2sinh(x)+1=0…

Q: Use Newton’s method to find all the roots of theequation correct to eight decimal places. Start by…

Q: 1. Use fixed point iteration in finding the root for the expression x = sinx with an error estimate…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Expand fix)= Sin(x+ TT),O<X< I ina half range sine series

Q: On the guide to solve integral sin2x/1+cosx why is the first step changing it to 2cosxsinx/1+cosx?

Q: determine its root using secant method. Start with two points, x1 = 0, and x2 = 1, and carry out the…

A: Formula for secant method xn+1=xn-1 -f(xn-1)xn-xn-1f(xn)-f(xn-1) If roots lie between x=x1 and…

Q: Use false position method to find the root of f(x) = e* (3.2 sin x - 0.5 cos x) on the interval…

A: We need to find the root of fx=e-x3.2 sin x-0.5 cos x The given interval is 3,4 Also, we are…

Q: Consider the function f (x) = x – 4 sin (x) 1. Using Fixed-Point Method, what equation of x will…

Q: se Regula-Falsi method to find the real roots of the equation x^3-sinx+1=0,

A: To Determine :- Use Regula - Falsi method to find the real roots of the equation x3 - sin x + 1 =…

Q: approximate the root specified to three decimal places using Newton’s Method. Use a plot tochoose an…

Q: Find root √80 using Newton Raphson method.

Q: Determine the root of the given equation SIN(X) + COS(1+X^2) -1 = 0 (Solutions for at least 3…

Q: Find the positive root of the equation 3x+sinx-e" using Regula Falsi method and correct upto 4…

A: Let fx=3x+sinx-ex 1st Iteration:- Here f0=-1<0 and f1=1.1232>0∴Now, root lies between…

Q: Use Newton's method to obtain a root for x^3 - 2x + 5 = 0

Q: Use the most appropriate method to solve the equation 3tan2 x - tan x - 2= 0 on the interval [0,…

A: Given- 3tan2x-tanx-2=0 To find- The solution of the above trigonometric equation on the interval…

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

Q: The approximation of the root x of the function f(x) = -x + sinx-2 accurate to within 103 using…

Q: Verify that the equation 2 – X² = sin x has two real roots, one near x = 1.5 and another near x = 1…

A: we have to find the real root for given function.

Q: Use the Secant Method to approximate the positive root of 2x^2-sin^-1x=0. Sketch the graph of the…

Q: Solve sinh-x = In (2 – x). Give a reason for your choice of answer.

A: Sinh(x) is a hyperbolic function And Sinh x = ( ex + e-x ) / 2 Inverse of hyperbolic function…

Q: find the root of the equation 0.5 sin x + x + 1 = 0 using fixed point iteration until a relative…

Q: Find the positive root of the equation x-cosx using Regula Falsi method and correct to 4 decimal…

Q: Find all exact solutions for sin^2 x+5=6sin(x) Show work

A: Explanation of the solution is given below...

Q: Solve for the derivative of y=cos4x-sin4x

A: We will make use of concepts of trigonometry first to simplify the given expression. We will then…

Q: a) Show that the equation f(x) = x- + sinx 0 has at least one root in the interval 1,3 b)Use…

A: To find - Show that the equation fx = -x2 + sinx = 0 has at least one root in the interval 1, 3…

Q: Use the fixed połnt method to approximate the root of the equation 10*-13.x-930 in the interval…

A: We have to use the fixed point method to approximate the root of the equation 10x-13x-9=0 in the…

Q: Show two solutions to find a positive root of the equation x^3 – sin x = 0 by open methods.…

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

Q: Compute for a real root of 2 cos sin √ = accurate to 4 significant figures using Fixed-Point…

A: (2) The function given is as follows: 2cosx3-sinx=14⇒fx=2cosx3-sinx-14 We will rewrite the above…

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.

Question

Do 2-iterations of the Fixed
point method for finding a root
of the equation x^3=sinx, x>0, ,
start with x_0=1 The root is ... *
O 1.000
O 0.9321
0.36788
0.6922
O None of them

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Determine dimension x to 3 decimal places.
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
Find a real root of the equation 3? + ??? ? – ?x = 0 in the interval (0, 1) by themethod of false position correct to four decimal places. Choose suitable initialapproximations.
Find the approximate value of the root of the equation 3x-sqrt(1+sinx)=0 by Bisection method. (five iterations)
Find a real root of the equation 3? + ??? ? – ?? = 0 in the interval (0, 1) by themethod of false position correct to four decimal places. Choose suitable initialapproximations.
Find root of the equation (2x=cos x+3) correct to three decimal places using iteration method.
determine its root using secant method. Start with two points, x1 = 0, and x2 = 1, and carry out the first 5 iterations. What is the value of the last iteration? (Use 5 significant figures)
find the root of 3x +sinx -e ^x=0 using secant method
Determine the root of the given equation SIN(X) + COS(1+X^2) -1 = 0 (Solutions for at least 3 iterations). Use the method : Secant Method
Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with x1=2 as the initial approximation.
Solve for x using simple fixed point iteration -e-0.2x + arctan x = 0.1. Stop after the 10th iteration. Use all decimal numbers showed in the calculator.
Use Newton Raphson method to obtain a root to 3 decimal places 1. x^3-5x+3=0 2. sinx=1-x