1
GATE PI 2007
MCQ (Single Correct Answer)
+2
-0.6
Matching exercise choose the correct one out of the alternatives $$A, B, C, D$$

Group $$-$$ $${\rm I}$$
$$P.$$ $${2^{nd}}$$ order differential equations
$$Q.$$ Non-linear algebraic equations
$$R.$$ Linear algebraic equations
$$S.$$ Numerical integration

Group $$-$$ $${\rm II}$$
$$(1)$$ Runge $$-$$ Kutta method
$$(2)$$ Newton $$-$$ Raphson method
$$(3)$$ Gauss Elimination
$$(4)$$ Simpson's Rule

A
$$P - 3,\,\,Q - 2,\,\,R - 4,\,\,S - 1$$
B
$$P - 2,\,\,Q - 4,\,\,R - 3,\,\,S - 1$$
C
$$P - 1,\,\,Q - 2,\,\,R - 3,\,\,S - 4$$
D
$$P - 1,\,\,Q - 3,\,\,R - 2,\,\,S - 4$$
2
GATE PI 2005
MCQ (Single Correct Answer)
+2
-0.6
The real root of the equation $$x{e^x} = 2$$ is evaluated using Newton $$-$$ Raphson's method. If the first approximation of the value of $$x$$ is $$0.8679,$$ the $${2^{nd}}$$ approximation of the value of $$x$$ correct to three decimal places is
A
$$0.865$$
B
$$0.853$$
C
$$0.849$$
D
$$0.838$$
GATE PI Subjects
Fluid Mechanics
Metrology
Theory of Machines
Engineering Mathematics
Heat Transfer
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Strength of Materials
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming
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