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Questions without a selected answer in Numerical Methods
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Numerical Method Analysis : Help...
Use Secant method to find roots of: $x^3-2x^2+3x-5=0$ $x+1 = 4sinx$ $e^x = x + 2$
kidussss
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Numerical Methods
Mar 7, 2023
by
kidussss
259
views
numerical-methods
out-of-gate-syllabus
0
votes
0
answers
2
Numerical Method Analysis : Help....
Use NR method to find a root of the equation with tolerance x=0.00001. $x^3-2x-5=0$ $e^x-3x^2=0$
kidussss
asked
in
Numerical Methods
Mar 7, 2023
by
kidussss
197
views
numerical-methods
out-of-gate-syllabus
0
votes
0
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3
Numerical Method Analysis : Help...
Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$
kidussss
asked
in
Numerical Methods
Mar 7, 2023
by
kidussss
111
views
numerical-methods
out-of-gate-syllabus
0
votes
0
answers
4
Numerical Method Analysis : Help...
Use Bisection method to find the root of the following equation with tolerance 0.001. $x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$ $x^3 – e^x + sin(x) = 0$
kidussss
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in
Numerical Methods
Mar 7, 2023
by
kidussss
269
views
numerical-methods
out-of-gate-syllabus
0
votes
0
answers
5
NIELIT 2021 Dec Scientist B - Section B: 60
One root of $x^{3} – x – 4 = 0$ lies in $(1, 2).$ In bisection method, after first iteration the root lies in the interval ___________ . $(1, 1.5)$ $(1.5, 2)$ $(1.25, 1.75)$ $(1.75, 2)$
admin
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in
Numerical Methods
Jul 21, 2022
by
admin
227
views
nielit-2021-it-dec-scientistb
numerical-methods
1
vote
0
answers
6
NIELIT 2016 MAR Scientist C - Section B: 1
Choose the most appropriate option. The Newton-Raphson iteration $x_{n+1}=\dfrac{x_{n}}{2}+\dfrac{3}{2x_{n}}$ can be used to solve the equation $x^{2}=3$ $x^{3}=3$ $x^{2}=2$ $x^{3}=2$
admin
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in
Numerical Methods
Apr 2, 2020
by
admin
393
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nielit2016mar-scientistc
non-gate
numerical-methods
0
votes
1
answer
7
NIELIT 2017 OCT Scientific Assistant A (CS) - Section C: 7
The convergence of the bisection method is Cubic Quadratic Linear None
admin
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in
Numerical Methods
Apr 1, 2020
by
admin
1.2k
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nielit2017oct-assistanta-cs
non-gate
numerical-methods
0
votes
1
answer
8
NIELIT 2016 MAR Scientist B - Section B: 7
In which of the following methods proper choice of initial value is very important? Bisection method False position Newton-Raphson Bairsto method
admin
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in
Numerical Methods
Mar 31, 2020
by
admin
1.9k
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nielit2016mar-scientistb
non-gate
numerical-methods
0
votes
2
answers
9
NIELIT 2017 DEC Scientist B - Section B: 3
Using bisection method, one root of $x^4-x-1$ lies between $1$ and $2$. After second iteration the root may lie in interval: $(1.25,1.5)$ $(1,1.25)$ $(1,1.5)$ None of the options.
admin
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Numerical Methods
Mar 30, 2020
by
admin
2.3k
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nielit2017dec-scientistb
non-gate
numerical-methods
0
votes
1
answer
10
NIELIT 2017 DEC Scientist B - Section B: 20
Let $u$ and $v$ be two vectors in $R^2$ whose Eucledian norms satisfy $\mid u\mid=2\mid v \mid$. What is the value $\alpha$ such that $w=u+\alpha v$ bisects the angle between $u$ and $v$? $2$ $1$ $\dfrac{1}{2}$ $-2$
admin
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in
Numerical Methods
Mar 30, 2020
by
admin
619
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nielit2017dec-scientistb
non-gate
vector-space
2
votes
2
answers
11
UGC NET CSE | June 2019 | Part 2 | Question: 10
Consider an LPP given as $\text{Max } Z=2x_1-x_2+2x_3$ subject to the constraints $2x_1+x_2 \leq 10 \\ x_1+2x_2-2x_3 \leq 20 \\ x_1 + 2x_3 \leq 5 \\ x_1, \: x_2 \: x_3 \geq 0 $ What shall be the solution of the LLP after applying first iteration of the Simplex Method ... $x_1 = 0, x_2=0, \: x_3=10, \: Z=20$
Arjun
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in
Numerical Methods
Jul 2, 2019
by
Arjun
2.9k
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ugcnetcse-june2019-paper2
simplex-method
2
votes
1
answer
12
Is reading comprehension asked in IIITH
Does in iiith pgeee exam , does Reading comprehension is being asked. Do we need to prepare for it?
Sandy Sharma
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in
Numerical Methods
Mar 29, 2019
by
Sandy Sharma
695
views
iiith-pgee
1
vote
1
answer
13
UGC NET CSE | December 2018 | Part 2 | Question: 8
In PERT/CPM, the merge event represents _____ of two or more events. completion beginning splitting joining
Arjun
asked
in
Numerical Methods
Jan 2, 2019
by
Arjun
3.5k
views
ugcnetcse-dec2018-paper2
operation-research-pert-cpm
2
votes
1
answer
14
GATE CSE 1988 | Question: 1i
Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.
go_editor
asked
in
Numerical Methods
Dec 10, 2016
by
go_editor
557
views
gate1988
numerical-methods
out-of-gate-syllabus
1
vote
1
answer
15
GATE CSE 1987 | Question: 1-xxiv
The simplex method is so named because It is simple. It is based on the theory of algebraic complexes. The simple pendulum works on this method. No one thought of a better name.
makhdoom ghaya
asked
in
Numerical Methods
Nov 9, 2016
by
makhdoom ghaya
760
views
gate1987
numerical-methods
simplex-method
out-of-gate-syllabus
3
votes
1
answer
16
UGC NET CSE | December 2014 | Part 3 | Question: 69
Five men are available to do five different jobs. From past records, the time (in hours) that each man takes to do each job is known and is given in the following table : Find out the minimum time required to complete all the jobs. $5$ $11$ $13$ $15$
makhdoom ghaya
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in
Numerical Methods
Aug 2, 2016
by
makhdoom ghaya
7.4k
views
ugcnetcse-dec2014-paper3
assignment-problem
hungarian-method
8
votes
1
answer
17
ISRO2009-44
A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which $f(x_0) > 0$ $f (x_0) f''(x_0) > 0$ $f(x_0) f'' (x_0) < 0$ $f''(x_0) >0$
Desert_Warrior
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in
Numerical Methods
Jun 3, 2016
by
Desert_Warrior
2.9k
views
isro2009
numerical-methods
12
votes
3
answers
18
GATE CSE 2015 Set 3 | Question: 50
The velocity $v$ (in kilometer/minute) of a motorbike which starts form rest, is given at fixed intervals of time $t$ (in minutes) as follows: t 2 4 6 8 10 12 14 16 18 20 v 10 18 25 29 32 20 11 5 2 0 The approximate distance (in kilometers) rounded to two places of decimals covered in 20 minutes using Simpson's $1/3^{rd}$ rule is ________.
go_editor
asked
in
Numerical Methods
Feb 16, 2015
by
go_editor
7.5k
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gatecse-2015-set3
numerical-methods
simpsons-rule
normal
numerical-answers
out-of-syllabus-now
non-gate
8
votes
2
answers
19
GATE CSE 2015 Set 2 | Question: 39
The secant method is used to find the root of an equation $f(x)=0$. It is started from two distinct estimates $x_a$ and $x_b$ for the root. It is an iterative procedure involving linear interpolation to a root. The iteration stops if $f(x_b)$ is very small and then $x_b$ is ... $x_b - (x_b-x_a) f_b / (f_b-f(x_a)) $ $x_a - (x_b-x_a) f_a / (f_b-f(x_a)) $
go_editor
asked
in
Numerical Methods
Feb 12, 2015
by
go_editor
4.8k
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gatecse-2015-set2
numerical-methods
secant-method
0
votes
1
answer
20
calculus
The estimate of $\int_{0.5}^{1.5}\frac{dx}{x}$ obtained using Simpson’s rule with threepoint function evaluation exceeds the exact value by (A) 0.235 (B) 0.068 (C) 0.024 (D) 0.012
Nisha kumari
asked
in
Numerical Methods
Jan 30, 2015
by
Nisha kumari
1.7k
views
numerical-methods
simpsons-rule
non-gate
0
votes
0
answers
21
2012 numerical methed
Nisha kumari
asked
in
Numerical Methods
Jan 29, 2015
by
Nisha kumari
290
views
numerical-methods
out-of-syllabus-now
non-gate
1
vote
1
answer
22
GATE IT 2005 | Question: 2
If the trapezoidal method is used to evaluate the integral obtained $\int_{0}^{1} x^2dx$, then the value obtained is always > (1/3) is always < (1/3) is always = (1/3) may be greater or lesser than (1/3)
Ishrat Jahan
asked
in
Numerical Methods
Nov 3, 2014
by
Ishrat Jahan
1.5k
views
gateit-2005
numerical-methods
trapezoidal-rule
normal
2
votes
0
answers
23
GATE IT 2004 | Question: 39
Consider the following iterative root finding methods and convergence properties: Iterative root finding methods Convergence properties Q. False Position I. Order of convergence = 1.62 R. Newton Raphson II. Order of convergence = 2 S. Secant III. Order of convergence = 1 with guarantee of convergence T. ... R-II, S-I, T-IV Q-II, R-I, S-IV, T-III Q-I, R-IV, S-II, T-III
Ishrat Jahan
asked
in
Numerical Methods
Nov 2, 2014
by
Ishrat Jahan
1.7k
views
gateit-2004
numerical-methods
normal
8
votes
3
answers
24
GATE IT 2006 | Question: 28
The following definite integral evaluates to $\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$ $\frac{1}{2}$ $\pi \sqrt{10}$ $\sqrt{10}$ $\pi$
Ishrat Jahan
asked
in
Numerical Methods
Oct 31, 2014
by
Ishrat Jahan
5.0k
views
gateit-2006
numerical-methods
normal
non-gate
0
votes
0
answers
25
GATE IT 2006 | Question: 27
Match the following iterative methods for solving algebraic equations and their orders of convergence. Method Order of Convergence 1. Bisection P. 2 or more 2. Newton-Raphson Q. 1.62 3. Secant R. 1 4. Regula falsi S. 1 bit per iteration I-R, II-S, III-P, IV-Q I-S, II-R, III-Q, IV-P I-S, II-Q, III-R, IV-P I-S, II-P, III-Q, IV-R
Ishrat Jahan
asked
in
Numerical Methods
Oct 31, 2014
by
Ishrat Jahan
1.4k
views
gateit-2006
numerical-methods
normal
out-of-gate-syllabus
4
votes
1
answer
26
GATE IT 2007 | Question: 77
Consider the sequence $\left \langle x_n \right \rangle,\; n \geq 0$ defined by the recurrence relation $x_{n + 1} = c \cdot (x_n)^2 - 2$, where $c > 0$. For which of the following values of $c$, does there exist a non-empty open interval $(a, b)$ such that the ... $0.25$ $0.35$ $0.45$ $0.5$ i only i and ii only i, ii and iii only i, ii, iii and iv
Ishrat Jahan
asked
in
Numerical Methods
Oct 30, 2014
by
Ishrat Jahan
1.5k
views
gateit-2007
numerical-methods
normal
non-gate
0
votes
1
answer
27
GATE IT 2007 | Question: 22
The trapezoidal method is used to evaluate the numerical value of $\int_{0}^{1}e^x dx$. Consider the following values for the step size h. 10-2 10-3 10-4 10-5 For which of these values of the step size h, is the computed value guaranteed to be correct ... that there are no round-off errors in the computation. iv only iii and iv only ii, iii and iv only i, ii, iii and iv
Ishrat Jahan
asked
in
Numerical Methods
Oct 29, 2014
by
Ishrat Jahan
1.5k
views
gateit-2007
numerical-methods
trapezoidal-rule
normal
out-of-syllabus-now
0
votes
1
answer
28
Is the value obtained by trapezoidal rule greater than
Is the value obtained by trapezoidal rule greater than the exact value and also compare the value obtained in the case of simpsons rule.
kireeti
asked
in
Numerical Methods
Oct 26, 2014
by
kireeti
837
views
trapezoidal-rule
non-gate
0
votes
0
answers
29
GATE CSE 1994 | Question: 1.3
Backward Euler method for solving the differential equation $\frac{dy}{dx}=f(x, y)$ is specified by, (choose one of the following). $y_{n+1}=y_n+hf(x_n, y_n)$ $y_{n+1}=y_n+hf(x_{n+1}, y_{n+1})$ $y_{n+1}=y_{n-1}+2hf(x_n, y_n)$ $y_{n+1}= (1+h)f(x_{n+1}, y_{n+1})$
Kathleen
asked
in
Numerical Methods
Oct 4, 2014
by
Kathleen
1.1k
views
gate1994
numerical-methods
backward-euler-method
out-of-gate-syllabus
0
votes
1
answer
30
GATE CSE 1997 | Question: 4.10
The trapezoidal method to numerically obtain $\int_a^b f(x) dx$ has an error E bounded by $\frac{b-a}{12} h^2 \max f’’(x), x \in [a, b]$ where $h$ is the width of the trapezoids. The minimum number of trapezoids guaranteed to ensure $E \leq 10^{-4}$ in computing $\ln 7$ using $f=\frac{1}{x}$ is 60 100 600 10000
Kathleen
asked
in
Numerical Methods
Sep 29, 2014
by
Kathleen
1.5k
views
gate1997
numerical-methods
trapezoidal-rule
normal
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