menu
search
Log In
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

Subjects

Network Sites

 GO Mechanical
 GO Electrical
 GO Electronics
 GO Civil
 CSE Doubts

calculus

0 votes
444 views
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
in Numerical Methods
reopened by 444 views

1 Answer

1 vote
D option..
0
explain it
1
Find the actual value by integrating and putting it will be around 1.09861 .. Find value using simpson 3-point rule as h/3(y0+yn+4(y1+y3+...) +2(y2+y4+...)) it will be around 1.11111 Error=1.09861-1.11111 =0.012
← Prev. Next →
← Prev. Qn. in Sub. Next Qn. in Sub. →

Related questions

0 votes
0 answers
1
281 views
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.
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 makhdoom ghaya 281 views
12 votes
3 answers
2
2k views
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 ________.
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 jothee 2k views
5 votes
1 answer
3
1.3k views
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
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 equal ... using 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 jothee 1.3k views
0 votes
1 answer
4
1k views
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
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 alternative 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 Kathleen 1k views
Dark theme
Muffin by Hélio Chun
Thanks to Q2A
...