Recent questions tagged newton-raphson / GATE Overflow for GATE CSE

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

Using Newton-Raphson method, a root correct to 3 decimal places of $x^3 - 3x -5 = 0$2.2222.2752.279None of the above

sh!va

25.8k views

sh!va asked May 7, 2017

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.

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 t...

makhdoom ghaya

713 views

makhdoom ghaya asked Nov 9, 2016

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

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 v...

Ishrat Jahan

1.1k views

Ishrat Jahan asked Oct 28, 2014

4 votes

2 answers

4

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

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_{...

Kathleen

1.9k views

Kathleen asked Oct 9, 2014

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

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...

Kathleen

2.6k views

Kathleen asked Oct 8, 2014

3 votes

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

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 willconverge to -1converge to $\sqrt{2...

Kathleen

12.1k views

Kathleen asked Sep 29, 2014

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

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...

go_editor

2.2k views

go_editor asked Sep 28, 2014

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

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 metho...

Kathleen

3.0k views

Kathleen asked Sep 23, 2014

1 votes

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

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 to1.5$\sqrt{2}$1.61.4

Kathleen

1.0k views

Kathleen asked Sep 21, 2014

3 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

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 is3.5753.6763.6673.607...

gatecse

6.2k views

gatecse asked Sep 21, 2014

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

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 roo...

Kathleen

1.4k views

Kathleen asked Sep 17, 2014

1 votes

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

The Newton-Raphson iteration $x_{n+1} = \frac{1}{2}\left(x_n+\frac{R}{x_n}\right)$ can be used to compute thesquare of R reciprocal of R square root of R l...

Kathleen

5.2k views

Kathleen asked Sep 11, 2014

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