1
GATE ME 2017 Set 2
Numerical
+2
-0
The surface integral $$\int {\int\limits_s {F.ndS} } $$ over the surface $$S$$ of the sphere $${x^2} + {y^2} + {z^2} = 9,$$ where $$\,F = \left( {x + y} \right){\rm I} + \left( {x + z} \right)j + \left( {y + z} \right)k\,\,$$ and $$n$$ is the unit outward surface normal, yields ___________.
Your input ____
2
GATE ME 2017 Set 2
Numerical
+1
-0
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is _________.
Your input ____
3
GATE ME 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A simple of $$15$$ data is as follows; $$17,18,17,17,13,18,5,5,6,7,8,9,20,17,3.$$ The mode of the data is
A
$$4$$
B
$$13$$
C
$$17$$
D
$$20$$
4
GATE ME 2017 Set 2
Numerical
+2
-0
Consider the differential equation $$\,\,3y''\left( x \right) + 27y\left( x \right) = 0\,\,$$ with initial conditions $$y\left( 0 \right) = 0$$ and $$y'\left( 0 \right) = 2000.\,\,$$ The value of $$y$$ at $$x=1$$ is __________.
Your input ____
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