Using the interval bisection method find the positive root of x^2-3=0 correct to 4 decimal points, starting with intervals as {1,2}.Write down the seventh iteration interval and the final approximated solution. A.Interval {1.7266,1.7344}, Final answer=1.7344 B.Interval {1.7188,1.7344},Final answer=1.7344 c.Interval {1.7188,1.75}, Final answer=1.7266

Using the interval bisection method find the positive root of x^2-3=0 correct to 4 decimal points, starting with intervals as {1,2}.Write down the seventh iteration interval and the final approximated solution. A.Interval {1.7266,1.7344}, Final answer=1.7344 B.Interval {1.7188,1.7344},Final answer=1.7344 c.Interval {1.7188,1.75}, Final answer=1.7266

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

See similar textbooks

Similar questions

Use bisection method to locate the root f(x)=7sin(x)e^(-x) - 1 on a closed interval [0,1]. Use 12 iterations to extract the root.
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)
Solve for the root of the function at the given range or given initial point using the bisection method.Show the iteration table.
Use the Bisection method to find an approximation to √3 correct to within a tolerance level of 10−4. Show working and tabulate your result including the error at each stage of iteration.
solve on real root of e^x -2x-5=0 on the interval (1,4) using the bisection method. stopping criterion ET<0.005. showing complete table
Find a real root lying in interval (1, 2) up to four decimal places for the equation x⁶-x⁴-x³-1=0 by Bisection method.
find the root of x^2 + x - 2 = 0 using bisection method at 4 decimal place accuracy. show calculations of 4 iterations using initial x = 4 and x = -1 . (summarize in table form) do not show error.
Find root √80 using Newton Raphson method.
Using the Bisection Method, when the approximate error of the root x is equal or below the specified error tolerance of εs = 0.001, what is the value of:
Use Bisection method to find the root of f(x)=3x+sinx-(e power x) in the interval [0,1] up to 5 iterations.
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.
Use (a) bisection method and (b) false position method to find the solution to the following within error of 10-6. Show your manual solution for first three iterations, then prepare an Excel file for the finding the root until the error is within 10-6 showing also the graph of the function. 1.sin x - e-x=0, when x = [0,1]