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Recent questions tagged newton-raphson

8 votes

3 answers

1

ISRO2017-3
Using Newton-Raphson method, a root correct to 3 decimal places of $x^3 - 3x -5 = 0$ 2.222 2.275 2.279 None of the above

sh!va asked in Numerical Methods May 7, 2017

by sh!va

22.4k views

0 votes

0 answers

2

GATE CSE 1987 | Question: 1-xxv
Which of the following statements is true in respect of the convergence of the Newton-Rephson procedure? It converges always under all circumstances. It does not converge to a tool where the second differential coefficient changes sign. It does not converge to a root where the second differential coefficient vanishes. None of the above.

makhdoom ghaya asked in Numerical Methods Nov 9, 2016

by makhdoom ghaya

532 views

0 votes

1 answer

3

GATE IT 2008 | Question: 30
Consider the function f(x) = x2 - 2x - 1. Suppose an execution of the Newton-Raphson method to find a zero of f(x) starts with an approximation x0 = 2 of x. What is the value of x2, the approximation of x that algorithm produces after two iterations, rounded to three decimal places? 2.417 2.419 2.423 2.425

Ishrat Jahan asked in IS&Software Engineering Oct 28, 2014

by Ishrat Jahan

648 views

4 votes

2 answers

4

GATE CSE 1996 | Question: 2.5
Newton-Raphson iteration formula for finding $\sqrt[3]{c}$, where $c > 0$ is $x_{n+1}=\frac{2x_n^3 + \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 - \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 + c}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 - c}{3x_n^2}$

Kathleen asked in Numerical Methods Oct 9, 2014

1.6k views

0 votes

3 answers

5

GATE CSE 1995 | Question: 2.15
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is $x_{k+1} = 3(x_k+b)/2x_k$ $x_{k+1} = (x_{k}^2+b)/2x_k$ $x_{k+1} = x_k-2x_k/\left(x^2_k+b\right)$ None of the above

Kathleen asked in Numerical Methods Oct 8, 2014

2.1k views

1 vote

2 answers

6

GATE CSE 1997 | Question: 1.2
The Newton-Raphson method is used to find the root of the equation $X^2-2=0$. If the iterations are started from -1, the iterations will converge to -1 converge to $\sqrt{2}$ converge to $\sqrt{-2}$ not converge

Kathleen asked in Numerical Methods Sep 29, 2014

9.4k views

7 votes

1 answer

7

GATE CSE 2014 Set 2 | Question: 46
In the Newton-Raphson method, an initial guess of $x_0= 2 $ is made and the sequence $x_0,x_1,x_2\:\dots$ is obtained for the function $0.75x^3-2x^2-2x+4=0$ Consider the statements $x_3\:=\:0$ The method converges to a solution in a finite number of iterations. Which of the following is TRUE? Only I Only II Both I and II Neither I nor II

go_editor asked in Numerical Methods Sep 28, 2014

1.5k views

6 votes

2 answers

8

GATE CSE 1999 | Question: 1.23
The Newton-Raphson method is to be used to find the root of the equation $f(x)=0$ where $x_o$ is the initial approximation and $f’$ is the derivative of $f$. The method converges always only if $f$ is a polynomial only if $f(x_o) <0$ none of the above

Kathleen asked in Numerical Methods Sep 23, 2014

2.6k views

1 vote

0 answers

9

GATE CSE 2007 | Question: 28
Consider the series $x_{n+1} = \frac{x_n}{2}+\frac{9}{8x_n},x_0 = 0.5$ obtained from the Newton-Raphson method. The series converges to 1.5 $\sqrt{2}$ 1.6 1.4

Kathleen asked in IS&Software Engineering Sep 22, 2014

663 views

2 votes

1 answer

10

GATE CSE 2010 | Question: 2
Newton-Raphson method is used to compute a root of the equation $x^2 - 13 = 0$ with 3.5 as the initial value. The approximation after one iteration is 3.575 3.676 3.667 3.607

gatecse asked in Numerical Methods Sep 21, 2014

5.2k views

0 votes

0 answers

11

GATE CSE 2003 | Question: 42
A piecewise linear function $f(x)$ is plotted using thick solid lines in the figure below (the plot is drawn to scale). If we use the Newton-Raphson method to find the roots of \(f(x)=0\) using \(x_0, x_1,\) and \(x_2\) respectively as initial guesses, the ... .6 respectively 0.6, 0.6, and 1.3 respectively 1.3, 1.3, and 0.6 respectively 1.3, 0.6, and 1.3 respectively

Kathleen asked in Numerical Methods Sep 17, 2014

1.2k views

1 vote

1 answer

12

GATE CSE 2008 | Question: 22
The Newton-Raphson iteration $x_{n+1} = \frac{1}{2}\left(x_n+\frac{R}{x_n}\right)$ can be used to compute the square of R reciprocal of R square root of R logarithm of R

Kathleen asked in Numerical Methods Sep 12, 2014

4.3k views

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