1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve $$3{x^4} - 16{x^3} + 24{x^2} + 37$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
What is the value of $$\int\limits_0^{2\pi } {{{\left( {x - \pi } \right)}^3}\left( {\sin x} \right)dx} $$
A
$$-1$$
B
$$0$$
C
$$1$$
D
$$\pi $$
3
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
The function $$f\left( {x,y} \right) = 2{x^2} + 2xy - {y^3}$$ has
A
Only one stationary point at $$(0, 0)$$
B
Two stationary points at $$(0, 0)$$ and $$\left( {{1 \over 6},{{ - 1} \over 3}} \right)$$
C
Two stationary points at $$(0, 0)$$ and $$(1, -1)$$
D
no stationary points.
4
GATE CSE 1998
Subjective
+2
-0
Find the points of local maxima and minima if any of the following function defined in $$0 \le x \le 6,$$ $$\,\,\,\,f\left( x \right) = {x^3} - 6{x^2} + 9x + 15.$$
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12