1
GATE ME 2005
+1
-0.3
Starting from $$\,{x_0} = 1,\,\,$$ one step of Newton - Raphson method in solving the equation $${x^3} + 3x - 7 = 0$$ gives the next value $${x_1}$$ as
A
$${x_1} = 0.5$$
B
$${x_1} = 1.406$$
C
$${x_1} = 1.5$$
D
$${x_1} = 2$$
2
GATE ME 1997
+1
-0.3
The order of error in the simpson's rule for numerical integration with a step size $$h$$ is
A
$$h$$
B
$${h^2}$$
C
$${h^3}$$
D
$${h^4}$$
3
GATE ME 1993
Fill in the Blanks
+1
-0
Given the differential equation $${y^1} = x - y$$ with initial condition $$y(0)=0.$$ The value of $$y(0.1)$$ calculated numerically upto the third place of decimal by the $${2^{nd}}$$ order Runge-Kutta method with step size $$h=0.1$$ is
4
GATE ME 1993
+1
-0.3
Simpson's rule for integration gives exact result when $$f(x)$$ is a polynomial function of degree less than or equal to ________.
A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
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
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