1
GATE ME 2016 Set 1
Numerical
+2
-0
Gauss-Seidel method is used to solve the following equations (as per the given order). $${x_1} + 2{x_2} + 3{x_3} = 5$$$$$2{x_1} + 3{x_2} + {x_3} = 1$$$ $$\,3{x_1} + 2{x_2} + {x_3} = 3$$\$
Assuming initial guess as $${x_1} = {x_2} = {x_3} = 0,$$ the value of $${x_3}$$ after the first iteration is __________.
2
GATE ME 2015 Set 3
Numerical
+2
-0
Newton-Raphson method is used to find the roots of the equation, $${\,{x^3} + 2{x^2} + 3x - 1 = 0}$$ If the initial guess is $${x_0} = 1,$$ then the value of $$x$$ after $${2^{nd}}$$ iteration is ___________.
3
GATE ME 2015 Set 3
Numerical
+2
-0
Using a unit step size, the value of integral $$\int\limits_1^2 {x\,\ln \,xdx\,\,\,}$$ by trapezoidal rule is ___________.
4
GATE ME 2015 Set 2
Numerical
+2
-0
The values of function $$(x)$$ at $$5$$ discrete points are given below: Using Trapezodial rule with step size of $$0.1,$$ the value of $$\,\int\limits_0^{0.4} {f\left( x \right)\,dx\,\,}$$ is __________.

GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
EXAM MAP
Joint Entrance Examination