1
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The minimum value of the function $$f\left( x \right) = {x^3} - 3{x^2} - 24x + 100$$ in the interval $$\left[ { - 3,3} \right]$$ is
A
$$20$$
B
$$28$$
C
$$16$$
D
$$32$$
2
GATE EE 2012
MCQ (Single Correct Answer)
+2
-0.6
The maximum value of $$f\left( x \right) = {x^3} - 9{x^2} + 24x + 5$$ in the interval $$\left[ {1,6} \right]$$ is
A
$$21$$
B
$$25$$
C
$$41$$
D
$$46$$
3
GATE EE 2010
MCQ (Single Correct Answer)
+2
-0.6
The value of the quantity, where $$P = \int\limits_0^1 {x{e^x}\,dx\,\,\,} $$ is
A
$$0$$
B
$$1$$
C
$$e$$
D
$$1/e$$
4
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
If $$(x, y)$$ is continuous function defined over $$\left( {x,y} \right) \in \left[ {0,1} \right] \times \left[ {0,1} \right].\,\,\,$$ Given two constants, $$\,x > {y^2}$$ and $$\,y > {x^2},$$ the volume under $$f(x, y)$$ is
A
$$\,\,\int\limits_{y = 0}^{y = 1} {\int\limits_{x = {y^2}}^{x = \sqrt y } {f\left( {x,y} \right)dx\,dy\,\,} } $$
B
$$\int\limits_{y = {x^2}}^{y = 1} {\int\limits_{x = {y^2}}^{x = 1} {f\left( {x,y} \right)dx\,dy\,\,} } $$
C
$$\int\limits_{y = 0}^{y = 1} {\int\limits_{x = 0}^{x = 1} {f\left( {x,y} \right)dx\,dy\,\,} } $$
D
$$\int\limits_{x = 0}^{y = \sqrt x } {\int\limits_{x = 0}^{x = \sqrt y } {f\left( {x,y} \right)dx\,dy\,\,} } $$
GATE EE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12