ZuoTi.Pro
Question

Matlab method questions

A zero of the function f(x) shown below is to be found. Use the image to answer Questions 15-17. 5 4 3 N f(x) 1 -2 4 6 8 10 NWhat value will the Bisection Method converge to after many iterations using an initial lower guess XL = 0 and initial upperWhat value will the Bisection Method converge to after many iterations using an initial lower guess 21 O and initial upper guHow may iterations will it take to converge to a root ifci = 2 and xu = 6 1 2 3 4 5 6 7 8

engineering   Computer-Science   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

`Hey,

Note: If you have any queries related to the answer please do comment. I would be very happy to resolve all your queries.

1) There will be an error since the function value is of same sign at upper and lower

2) It will converge to 9

3) It will take 1 iteration since after first iteration x=(2+6)/2=4

Kindly revert for any queries

Thanks.

0 0
Add a comment
Know the answer?
Add Answer to:
Matlab method questions A zero of the function f(x) shown below is to be found. Use...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Write a MATLAB function (IncNR) combining the capabilities of both the Incremental Search Method and the...

    Write a MATLAB function (IncNR) combining the capabilities of both the Incremental Search Method and the Newton-Raphson Method to find all the roots in a given function [xR, err, n] = IncNR(AF, xb, ed) AF = anonymous function xb = initial guess x bracket = [xL xU], where xL = lower x and xU = upper x ed = desired error Outputs: xR = vector of roots err = vector of errors corresponding to the roots n = vector of...

  • The root of an unknown function f (x) is to be found via bisection. The initial...

    The root of an unknown function f (x) is to be found via bisection. The initial lower guess is 21 = 2 and the initial high guess is 24 8. The algorithm stops when the absolute value of the difference between the lower and upper guesses is less than 0.1. How many total iterations will be made? Assume f (x1) and f (In) have opposite signs.

  • Iteration count on the bisection method: We learnt that the bisection method is a kind of...

    Iteration count on the bisection method: We learnt that the bisection method is a kind of bracketing method to estimate the roots of an equation. Each iteration involved reducing the interval in which the root lies. How many iterations, n, will be required to attain an accuracy of 10-a starting from an interval      [xl, xu] Write out a general formula for n in terms of a, xl, and xu. Use this formulae to estimate n for these specific cases: (a)...

  • 1. Of the four methods use to estimate the roots, which one appeared to be fastest...

    1. Of the four methods use to estimate the roots, which one appeared to be fastest (take the fewest iterations) to arrive at a solution: a)False-position method b)Bisection method c)Secant Method d)Newton’s Method e)They all took the same number of iterations 2.The Bisection and False-position method are: a)Interval (bracketing) methods b)Calculus-bases methods c)Secant methods d)Uses Ohm’s law 3.The Secant method is similar to Newton’s method except: a)for the use of an approximation for the tangent-line b)that two points (defining the...

  • The root of an unknown function f (2) is to be found via bisection. The initial...

    The root of an unknown function f (2) is to be found via bisection. The initial lower guess is 2 and the initial high guess is du = 8. The algorithm stops when the absolute value of the difference between the lower and upper guesses is less than 0.1. How many total iterations will be made? Assume f (21) and f (qu) have opposite signs.

  • I need to find approximate error for the first 5 iterations. The question says using bisection...

    I need to find approximate error for the first 5 iterations. The question says using bisection method find the root, f(x) = (x^3)+(2x)-6 . Xl=0.4 . Xu=1.8. Use 6 decimal digits in calculations. (I have already done 5 root iterations, I have no clue how to find approximate error though.)

  • Matlab only What is the function value at the estimated root after one iteration of the...

    Matlab only What is the function value at the estimated root after one iteration of the bisection method for the root finding equation: f(x) = x^3 -x -11 with xl = -4 and xu = 2.5? Select one: a.-0.7500 x O b.-3.2500 o co d. -10.6719 Which of the following statements is false? All open methods for root finding: Select one: a. Is sensitive to the shape of the function X b. Require two initial guesses to begin the algorithm...

  • Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2...

    Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2 +3x−7 Calculate the accuracy of the solution to 1 × 10−10. Find the number of iterations required to achieve this accuracy. Compute the root of the equation with the bisection method. Your program should output the following lines: • Bisection Method: Method converged to root X after Y iterations with a relative error of Z.

  • in MATLAB 3. Write a function called gauss_seidel that inputs an n x n matrix, A,...

    in MATLAB 3. Write a function called gauss_seidel that inputs an n x n matrix, A, a column vector, b, an initial guess xo), an error tolerance e, and a maximum number of iterations, and output an approximate solution obtained using the Gauss-Seidel method, the error and the number of iterations. The header should look like (x, err, N] = gauss_seidel (A, b, x0, tol, Nmax). Use the method to find approximate solutions to the linear system -2 1 0...

  • L. Determine the real root(s) off(x)--5xs + 14x3 + 20x2 + 10x a. Graphically on a graph paper. b....

    l. Determine the real root(s) off(x)--5xs + 14x3 + 20x2 + 10x a. Graphically on a graph paper. b. Using Bisection method c. Using False Position method to determine the root, employing initial guesses of x-2 d. Using the Newton Raphson methods to determine the root, employing initial guess to determine the root, employing initial guesses ofxn-2 and Xu-4 and Es= 18%. and r 5.0 andas answer. 1%. was this method the best for these initial guesses? Explain your xo--l...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT