1
GATE CE 2016 Set 2
+1
-0.3
The quadratic approximation of $$f\left( x \right) = {x^3} - 3{x^2} - 5\,\,$$ at the point $$x=0$$ is
A
$$3{x^2} - 6x - 5$$
B
$$- 3{x^2} - 5$$
C
$$- 3{x^2} + 6x - 5$$
D
$$3{x^2} - 5$$
2
GATE CE 2012
+1
-0.3
The estimate of $$\int\limits_{0.5}^{1.5} {{{dx} \over x}} \,\,$$ obtained using Simpson's rule with three-point function evaluation exceeds the exact value by
A
$$0.235$$
B
$$0.068$$
C
$$0.024$$
D
$$0.012$$
3
GATE CE 2008
+1
-0.3
The Newton-Raphson iteration $${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {R \over {{x_n}}}} \right)$$ can be used to compute
A
square of $$R$$
B
reciprocal of $$R$$
C
square root of $$R$$
D
logarithm of $$R$$
4
GATE CE 2007
+1
-0.3
Given that one root of the equation $$\,{x^3} - 10{x^2} + 31x - 30 = 0\,\,$$ is $$5$$ then other roots are
A
$$2$$ and $$3$$
B
$$2$$ and $$4$$
C
$$3$$ and $$4$$
D
$$-2$$ and $$-3$$
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