1
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
The table below gives values of a function $$f(x)$$ obtained for values of $$x$$ at intervals of $$0.25$$ GATE CE 2010 Engineering Mathematics - Numerical Methods Question 21 English

The value of the integral of the function between the limits $$0$$ to $$1,$$ using Simpson's rule is

A
$$0.7854$$
B
$$2.3562$$
C
$$3.1416$$
D
$$7.5000$$
2
GATE CE 2009
MCQ (Single Correct Answer)
+2
-0.6
The area under the curve shown between $$x=1$$ and $$x=5$$ is to be evaluated using the trapezoidal rule. The following points on the curve are given GATE CE 2009 Engineering Mathematics - Numerical Methods Question 22 English 1 GATE CE 2009 Engineering Mathematics - Numerical Methods Question 22 English 2

The evaluated area (In m2) will be

A
$$7$$
B
$$8.67$$
C
$$9$$
D
$$18$$
3
GATE CE 2008
MCQ (Single Correct Answer)
+2
-0.6
If the interval of integration is divided into two equal intervals of width $$1.0,$$ the value of the definite integral $$\,\,\int\limits_1^3 {\log _e^x\,\,dx\,\,\,\,} $$ using simpson's one $$-$$ third rule will be
A
$$0.5$$
B
$$0.80$$
C
$$1.00$$
D
$$0.29$$
4
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
Given $$a>0,$$ we wish to calculate its reciprocal value $${1 \over a}$$ by using Newton - Raphson method for $$f(x)=0.$$ For $$a=7$$ and starting with $${x_0} = 0.2\,\,$$ the first two iterations will be
A
$$0.11,$$ $$0.1299$$
B
$$0.12,$$ $$0.1392$$
C
$$0.12,$$ $$0.1416$$
D
$$0.13,$$ $$0.1428$$
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