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Recent questions tagged newtonraphson
+6
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1
ISRO20173
Using NewtonRaphson method, a root correct to 3 decimal places of $x^3  3x 5 = 0$ 2.222 2.275 2.279 None of the above
asked
May 7, 2017
in
Numerical Methods
by
sh!va
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isro2017
newtonraphson
nongate
0
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0
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2
GATE19871xxv
Which of the following statements is true in respect of the convergence of the NewtonRephson 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.
asked
Nov 9, 2016
in
Numerical Methods
by
makhdoom ghaya
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29.7k
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211
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gate1987
numericalmethods
nongate
newtonraphson
0
votes
1
answer
3
GATE2008IT30
Consider the function f(x) = x2  2x  1. Suppose an execution of the NewtonRaphson 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
asked
Oct 28, 2014
in
IS&Software Engineering
by
Ishrat Jahan
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16.3k
points)

241
views
gate2008it
numericalmethods
newtonraphson
normal
+3
votes
2
answers
4
GATE19962.5
NewtonRaphson iteration formula for finding $\sqrt[3]{c}$, where $c > 0$ is $x_{n+1}=\frac{2x_n^3 + \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3  \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 + c}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3  c}{3x_n^2}$
asked
Oct 9, 2014
in
Numerical Methods
by
Kathleen
Veteran
(
52.1k
points)

400
views
gate1996
numericalmethods
newtonraphson
normal
outofsyllabusnow
0
votes
3
answers
5
GATE19952.15
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is $x_{k+1} = 3(x_k+b)/2x_k$ $x_{k+1} = (x_{k}^2+b)/2x_k$ $x_{k+1} = x_k2x_k/\left(x^2_k+b\right)$ None of the above
asked
Oct 8, 2014
in
Numerical Methods
by
Kathleen
Veteran
(
52.1k
points)

508
views
gate1995
numericalmethods
newtonraphson
normal
+1
vote
2
answers
6
GATE19971.2
The NewtonRaphson method is used to find the root of the equation $X^22=0$. If the iterations are started from 1, the iterations will converge to 1 converge to $\sqrt{2}$ converge to $\sqrt{2}$ not converge
asked
Sep 29, 2014
in
Numerical Methods
by
Kathleen
Veteran
(
52.1k
points)

672
views
gate1997
numericalmethods
newtonraphson
normal
+6
votes
1
answer
7
GATE2014246
In the NewtonRaphson 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 $0.75x^32x^22x+4=0$ 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
asked
Sep 28, 2014
in
Numerical Methods
by
jothee
Veteran
(
100k
points)

490
views
gate20142
numericalmethods
newtonraphson
normal
nongate
+5
votes
2
answers
8
GATE19991.23
The NewtonRaphson 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
asked
Sep 23, 2014
in
Numerical Methods
by
Kathleen
Veteran
(
52.1k
points)

341
views
gate1999
numericalmethods
newtonraphson
normal
outofsyllabusnow
+1
vote
0
answers
9
GATE200728
Consider the series $x_{n+1} = \frac{x_n}{2}+\frac{9}{8x_n},x_0 = 0.5$ obtained from the NewtonRaphson method. The series converges to 1.5 $\sqrt{2}$ 1.6 1.4
asked
Sep 22, 2014
in
IS&Software Engineering
by
Kathleen
Veteran
(
52.1k
points)

293
views
gate2007
numericalmethods
newtonraphson
normal
outofsyllabusnow
+2
votes
1
answer
10
GATE20102
NewtonRaphson 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
asked
Sep 21, 2014
in
Numerical Methods
by
gatecse
Boss
(
16.1k
points)

705
views
gate2010
numericalmethods
newtonraphson
easy
nongate
0
votes
0
answers
11
GATE200342
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 NewtonRaphson method to find the roots of \(f(x)=0\) using \(x_0, x_1,\) and \(x_2\) respectively as initial guesses, the roots obtained ... 0.6 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
asked
Sep 17, 2014
in
Numerical Methods
by
Kathleen
Veteran
(
52.1k
points)

452
views
gate2003
numericalmethods
newtonraphson
normal
outofsyllabusnow
+1
vote
1
answer
12
GATE200822
The NewtonRaphson 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
asked
Sep 12, 2014
in
Numerical Methods
by
Kathleen
Veteran
(
52.1k
points)

455
views
gate2008
newtonraphson
normal
numericalmethods
outofsyllabusnow
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