1
GATE ECE 2017 Set 2
+2
-0.6
The values of the integrals $$\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dy} } \right)} dx\,\,$$ and $$\,\,\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dx} } \right)} dy\,\,$$ are
A
same and equal to $$0.5$$
B
same and equal to $$-0.5$$
C
$$0.5$$ and $$-05,$$ respectively
D
$$-0.5$$ and $$-0.5,$$ respectively
2
GATE ECE 2017 Set 2
Numerical
+2
-0
The minimum value of the function $$f\left( x \right) = {1 \over 3}x\left( {{x^2} - 3} \right)\,\,$$ in the interval $$- 100 \le x \le$$ $$100$$ occurs at $$x=$$ __________.
3
GATE ECE 2016 Set 3
Numerical
+2
-0
A triangle in the $$xy-$$plane is bounded by the straight lines $$2x=3y, y=0$$ and $$x=3.$$ The volume above the triangle and under the plane $$x+y+z=6Z$$ is ________.
4
GATE ECE 2016 Set 1
Numerical
+2
-0
The integral $$\,\,{1 \over {2\pi }}\int {\int_D {\left( {x + y + 10} \right)dxdy\,\,} }$$ where $$D$$ denotes the disc: $${x^2} + {y^2} \le 4,$$ evaluates to _________.