Question: need this asap thanks Consider the function f (x) = 3x4- 8x2 +1 Use the bisection method using the interval [1, 2] to approximate the

need this asap thanks

Consider the function f (x) = 3x4- 8x2 +1 Use the bisection method using the interval [1, 2] to approximate the root of the function at the n = 6 iteration. What would be the value of the latest root approximation at the n = 6 iteration at six decimal places accuracy? 1.578125 1.585938 1.593750 1.589844

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Question 1 Consider the following function: f(x) = x2-sin x, where x is in radians. Use the bisection method to determine a root of f(x) that lies in the interval from x = 0.5 to x-1. Iterate until...

1 Use the bisection method to find an approximate root of Uz z x-1 in the interval [1,4 A. Show that f()-0 has a root on the interval 1,4]. B. Estimate the number of iterations needed for the error...

I need the solve for this numerical methods course question Problem 2 (10 marks) O points possible (ungraded) Consider the function f (x) = x + 1 2sin (1x). This function is continuous on the...

f(x) = -12 - 21x + 18x2 2.75x3 2. Determine the first root of the same function as in the problem 1 by False Position method using initial guess of xy = -1 and x = 0 and a stopping criterion of 1%....

problem number 4 (question suppoed to say repeat problem 3). Program is in octave 2. Repeat problem 1 using the secant method with the same tolerance. 3. The nonlinear equation 3-6x +0.15 sin(200x) =...

Consider the function f ( x) = tan -1( tan x ). Then f (0) =f (x) =0. Your professor claims that by the Mean Value Theorem, there is a number con (0, x) such that f(c) =0. (a) Prove your professor...

please do the following problems and show the work Differential Calculus is the study of instantaneous rates of change. We begin by investi- gating average rates of change, which can be handled using...

Hey i need help with these questions please help out. Please fully answer these questions with procedure and steps. Thanks very much Vista Virtual School Math 30-1 Assignment 1 Summer 20 Vista...

Q1- Determine the real root of f (x) = 4x3 - 6x + 7x - 2.3: (a) Graphically. (b) Using bisection to locate the root. Employ initial guesses of X = 0 and X, = 1 and iterate until the estimated error ,...

Cassandra made equal deposits at the beginning of every 3 months into an RRSP. At the end of 8 years, the fund had an accumulated value of $60,000. If the RRSP was earning 4.75% compounded monthly....

Given here are data for a dependent variable and four potential predictors. Use these data and a stepwise regression procedure to develop a multiple regression model to predict y. Examine the values...

Simon and Peter are considering setting up an enterprise to produce and market spaceships. They have come up with the following estimates. They estimated that they would be able to continue the...

Exercise 14A-6 (Static) Basic Present Value Concepts [LO14-7] The Caldwell Herald newspaper reported the following story: Frank Ormsby of Caldwell is the state's newest millionaire. By choosing the...