Question: The cubic equation x 3 + 2x 2 = 0 can be written as Determine which of the corresponding iteration processes converges most rapidly

The cubic equation x³ + 2x – 2 = 0 can be written as

3 (a) x = 1 - x (c) x = (22x) /3 (b) x = 2 2+x

Determine which of the corresponding iteration processes converges most rapidly to find the real root of the equation. Hence calculate the root to 3dp.

3 (a) x = 1 - x (c) x = (22x) /3 (b) x = 2 2+x

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

b converges most rapidly x1 ... View full answer

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 Modern Engineering Mathematics Questions!

a. Show that the equation f(x) = 0 can be written as x = 1.5 0.5e 0.8x . b. Use the iterative formula x n + 1 = 1.5 0.5e 0.8x with x 0 = 1.3 to obtain x 1 , x 2 and x 3 . Hence write down one root...

g(x) = e x 1 + 2x 15 a. Show that the equation g(x) = 0 can be written as The root of g(x) = 0 is . The iterative formula x n + 1 = ln (15 2x n ) + 1, x 0 = 3, is used to find a value for . b....

What is the rate of heat loss in Watts and Cal/hr on a day when the ambient temperature is 25C with 50% relative humidity? Assume that you are taking 15 breaths per minute with a tidal volume of 500...

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

All the information are in it (i) g(x) = x?(x + 5)%(x 1)(x 4) (a) Degree: ; Leading coefficient: ; based on this the end behavior is: (b) the x-intercepts: X-intercept Multiplicity Bounce or cross?...

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

1(Multiple Choice Worth 1 points) (06.06 LC) An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the...

Module 7 Quadratic Equations An earlier module dealt with first degree equations. In this module the study of equations continues with second degree equations in one variable. These are termed...

A Small Numerical Library Here is header : #ifndef __MATHLIB_H__ #define __MATHLIB_H__ double Sin(double x); double Cos(double x); double Tan(double x); double Exp(double x); double Log(double x);...

A parent company rents a sales office to its wholly owned subsidiary under an operating lease requiring rent of $2,000 a month. What adjustments to income tax expense should accompany the elimination...

An investor expects the price of a stock to remain stable and writes a straddle. What is this individuals risk exposure? How may the investor close the position?

What two logical network topologies can be physically implemented as a star topology? A . A bus and a mesh B . A ring and a mesh C . A bus and a ring D . It is not possible to implement other...

Briefly describe the role of the following groups in entrepreneurship: young people, women, minorities, immigrants, part-timers, home-based business owners, family business owners, copreneurs,...

Evaluate the translational partition function for Ar confined to a volume of 1000 cm 3 at 298 K. At what temperature will the translational partition function of Ne be identical to that of Ar at 298...

At what temperature are there Avogadros number of translational states available for O 2 confined to a volume of 1000. cm 3 ?

Imagine gaseous Ar at 298 K confined to move in a two-dimensional plane of area 1.00 cm 2 . What is the value of the translational partition function?

what i s the out put ? #include / / for cout using namespace std; / / for the names used by C + + void main ( ) { float a , b , c , d , e , f; float x , y; cout > a...

For an order 5 b tree: min keys fir root node

displayinfo greeting In this programming assignment, you are asked to experience shell, shell programming, and system programming on Linux platform. This assignment assists you for better...