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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
isro2017
newton-raphson
non-gate
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
gate1987
numerical-methods
newton-raphson
out-of-gate-syllabus
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
gateit-2008
numerical-methods
newton-raphson
normal
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
by
Kathleen
1.6k
views
gate1996
numerical-methods
newton-raphson
normal
out-of-syllabus-now
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
by
Kathleen
2.1k
views
gate1995
numerical-methods
newton-raphson
normal
out-of-gate-syllabus
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
by
Kathleen
9.4k
views
gate1997
numerical-methods
newton-raphson
normal
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
by
go_editor
1.5k
views
gatecse-2014-set2
numerical-methods
newton-raphson
normal
non-gate
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 $fâ$ 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
by
Kathleen
2.6k
views
gate1999
numerical-methods
newton-raphson
normal
out-of-syllabus-now
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
by
Kathleen
663
views
gatecse-2007
numerical-methods
newton-raphson
normal
out-of-syllabus-now
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
by
gatecse
5.2k
views
gatecse-2010
numerical-methods
newton-raphson
easy
non-gate
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
by
Kathleen
1.2k
views
gatecse-2003
numerical-methods
newton-raphson
normal
out-of-syllabus-now
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
by
Kathleen
4.3k
views
gatecse-2008
newton-raphson
normal
numerical-methods
out-of-syllabus-now
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