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Recent questions tagged simpsons-rule

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GATE CSE 1987 | Question: 11b
Use Simpson's rule with $h=0.25$ to evaluate $ V= \int_{0}^{1} \frac{1}{1+x} dx$ correct to three decimal places.

makhdoom ghaya asked in Numerical Methods Nov 15, 2016

by makhdoom ghaya

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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

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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

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5 votes

1 answer

4

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

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1 vote

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GATE CSE 1993 | Question: 01.3
Simpson's rule for integration gives exact result when $f(x)$ is a polynomial of degree $1$ $2$ $3$ $4$

Kathleen asked in Numerical Methods Sep 13, 2014

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