1
GATE CE 2010
+2
-0.6
Given a function $$f\left( {x,y} \right) = 4{x^2} + 6{y^2} - 8x - 4y + 8,$$ the optimal values of $$f(x,y)$$ is
A
a minimum equal to $${{10} \over 3}$$
B
a maximum equal to $${{10} \over 3}$$
C
a minimum equal to $${{8} \over 3}$$
D
a maximum equal to $${{8} \over 3}$$
2
GATE CE 2004
+2
-0.6
The function $$f\left( x \right) = 2{x^3} - 3{x^2} - 36x + 2\,\,\,$$ has its maxima at
A
$$x=-2$$ only
B
$$x=0$$ only
C
$$x=3$$ only
D
both $$x=-2$$ and $$x=3$$
3
GATE CE 2002
+2
-0.6
Limit of the following sequence as $$n \to \infty$$ $$\,\,\,$$ is $$\,\,\,$$ $${x_n} = {n^{{1 \over n}}}$$
A
$$0$$
B
$$1$$
C
$$\infty$$
D
$$- \infty$$
4
GATE CE 2002
+2
-0.6
The value of the following improper integral is $$\,\int\limits_0^1 {x\,\log \,x\,dx} = \_\_\_\_\_.$$
A
$${1 \over 4}$$
B
$$0$$
C
$${{ - 1} \over 4}$$
D
$$1$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Environmental Engineering
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Medical
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