1
GATE CE 2013
Numerical
+2
-0
There is no value of $$x$$ that can simultaneously satisfy both the given equations. Therefore, find the 'least squares error' solution to the two equations, i.e., find the value of $$x$$ that minimizes the sum of squares of the errors in the two equations
$$2x=3$$
$$4x=1$$
$$2x=3$$
$$4x=1$$
Your input ____
2
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
The square root of a number $$N$$ is to be obtained by applying the Newton $$-$$ Raphson iteration to the equation $$\,{x^2} - N = 0.\,\,$$ If $$i$$ denotes the iteration index, the correct iterative scheme will be
3
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 $$0.25$$
The value of the integral of the function between the limits $$0$$ to $$1,$$ using Simpson's rule is
4
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 2](https://imagex.cdn.examgoal.net/4CQTvEspmKPnaTIgW/4uFcdgL6TXXU4OkbSSHhO4mmZOEvu/pQQaFLjL50DBWJeOZdvEHp/uploadfile.jpg)
The evaluated area (In m2) will be
Questions Asked from Numerical Methods (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
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
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude