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Recent questions tagged trapezoidal-rule
1
vote
1
answer
1
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
890
views
gateit-2005
numerical-methods
trapezoidal-rule
normal
0
votes
1
answer
2
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 30, 2014
by
Ishrat Jahan
978
views
gateit-2007
numerical-methods
trapezoidal-rule
normal
out-of-syllabus-now
0
votes
1
answer
3
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
618
views
trapezoidal-rule
non-gate
0
votes
1
answer
4
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
1.1k
views
gate1997
numerical-methods
trapezoidal-rule
normal
5
votes
1
answer
5
GATE CSE 2014 Set 3 | Question: 46
With respect to the numerical evaluation of the definite integral, $K = \int \limits_a^b \:x^2 \:dx$, where $a$ and $b$ are given, which of the following statements is/are TRUE? The value of $K$ obtained using the trapezoidal rule is always ... Simpson's rule is always equal to the exact value of the definite integral. I only II only Both I and II Neither I nor II
go_editor
asked
in
Numerical Methods
Sep 28, 2014
by
go_editor
2.8k
views
gatecse-2014-set3
numerical-methods
trapezoidal-rule
simpsons-rule
normal
2
votes
2
answers
6
GATE CSE 2013 | Question: 23
Function $f$ is known at the following points: $x$ 0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 $f(x)$ 0 0.09 0.36 0.81 1.44 2.25 3.24 4.41 5.76 7.29 9.00 The value of $\int_{0}^{3} f(x) \text{d}x$ computed using the trapezoidal rule is (A) 8.983 (B) 9.003 (C) 9.017 (D) 9.045
Arjun
asked
in
Numerical Methods
Sep 24, 2014
by
Arjun
2.5k
views
gatecse-2013
numerical-methods
trapezoidal-rule
non-gate
1
vote
1
answer
7
GATE CSE 2002 | Question: 1.2
The trapezoidal rule for integration gives exact result when the integrand is a polynomial of degree 0 but not 1 1 but not 0 0 or 1 2
Kathleen
asked
in
Numerical Methods
Sep 15, 2014
by
Kathleen
3.9k
views
gatecse-2002
numerical-methods
trapezoidal-rule
easy
non-gate
1
vote
3
answers
8
GATE CSE 2008 | Question: 21
The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule is 1000e 1000 100e 100
Kathleen
asked
in
Numerical Methods
Sep 12, 2014
by
Kathleen
2.0k
views
gatecse-2008
normal
numerical-methods
trapezoidal-rule
non-gate
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