1
GATE ME 2008
+1
-0.3
The value of $$\,\,\mathop {Lim}\limits_{x \to 8} {{{x^{1/3}} - 2} \over {x - 8}}\,\,$$ is
A
$${1 \over {16}}$$
B
$${1 \over {12}}$$
C
$${1 \over {8}}$$
D
$${1 \over {4}}$$
2
GATE ME 2007
+1
-0.3
The minimum value of function $$\,\,y = {x^2}\,\,$$ in the interval $$\,\,\left[ {1,5} \right]\,\,$$ is
A
$$0$$
B
$$1$$
C
$$25$$
D
undefined
3
GATE ME 2005
+1
-0.3
$$\int\limits_{ - a}^a {\left[ {{{\sin }^6}\,x + {{\sin }^7}\,x} \right]dx}$$ is equal to
A
$$2\int\limits_0^a {Si{n^6}x\,dx}$$
B
$$2\int\limits_0^a {Si{n^7}x\,dx}$$
C
$$2\int\limits_0^a {\left( {{{\sin }^6}x + {{\sin }^7}x} \right)dx}$$
D
zero
4
GATE ME 2005
+1
-0.3
Changing the order of integration in the double integral
$${\rm I} = \int\limits_0^8 {\int\limits_{{\raise0.5ex\hbox{\scriptstyle x} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 4}}}^2 {f\left( {x,\,y} \right)dy\,dx} }$$ leads to $$\,{\rm I} = \int\limits_r^s {\int\limits_p^q {f\left( {x,\,y} \right)dy\,dx} } .$$ What is $$q$$?
A
$$4y$$
B
$${16{y^2}}$$
C
$$x$$
D
$$8$$
GATE ME Subjects
EXAM MAP
Medical
NEET