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Recent questions tagged simpsonsrule
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GATE198711b
Use Simpson's rule with $h=0.25$ to evaluate $ V= \int_{0}^{1} \frac{1}{1+x} dx$ correct to three decimal places.
asked
Nov 15, 2016
in
Numerical Methods
by
makhdoom ghaya

265
views
gate1987
nongate
numericalmethods
simpsonsrule
+12
votes
3
answers
2
GATE2015350
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 ________.
asked
Feb 16, 2015
in
Numerical Methods
by
jothee

1.9k
views
gate20153
numericalmethods
simpsonsrule
normal
numericalanswers
0
votes
1
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3
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
asked
Jan 31, 2015
in
Numerical Methods
by
Nisha kumari

410
views
numericalmethods
simpsonsrule
nongate
+5
votes
1
answer
4
GATE2014346
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 greater than or ... the 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
asked
Sep 28, 2014
in
Numerical Methods
by
jothee

1.3k
views
gate20143
numericalmethods
trapezoidalrule
simpsonsrule
normal
0
votes
1
answer
5
GATE199301.3
In questions 1.1 to 1.7 below, one or more of the alternatives are correct. Write the code letter(s) a, b, c, d corresponding to the correct alternative(s) in the answer book. Marks will be given only if all the correct alternatives have been selected and no incorrect ... is picked up. 1.3 Simpson's rule for integration gives exact result when $f(x)$ is a polynomial of degree 1 2 3 4
asked
Sep 13, 2014
in
Numerical Methods
by
Kathleen

944
views
gate1993
numericalmethods
simpsonsrule
easy
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