1
GATE CE 2010
+2
-0.6
The table below gives values of a function $$f(x)$$ obtained for values of $$x$$ at intervals of $$0.25$$ 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
+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  The evaluated area (In m2) will be

A
$$7$$
B
$$8.67$$
C
$$9$$
D
$$18$$
3
GATE CE 2008
+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
+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
$$0.13,$$ $$0.1428$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination