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GATE1987-11b
Use Simpson's rule with $h=0.25$ to evaluate $ V= \int_{0}^{1} \frac{1}{1+x} dx$ correct to three decimal places.

asked Nov 15, 2016 in Numerical Methods by makhdoom ghaya Boss (29.5k points) | 206 views

+11 votes

3 answers

2

GATE2015-3-50
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 ________.

asked Feb 16, 2015 in Numerical Methods by jothee Veteran (97.7k points) | 1.3k views

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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 30, 2015 in Numerical Methods by Nisha kumari (317 points) | 232 views

+5 votes

1 answer

4

GATE2014-3-46
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 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 Veteran (97.7k points) | 936 views

0 votes

1 answer

5

GATE1993-01.3
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 Veteran (52.1k points) | 620 views

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