1
GATE ME 2015 Set 3
Numerical
+2
-0
The value of $$\int\limits_C {\left[ {\left( {3x - 8{y^2}} \right)dx + \left( {4y - 6xy} \right)dy} \right],\,\,}$$ (where $$C$$ is the region bounded by $$x=0,$$ $$y=0$$ and $$x+y=1$$) is ________.
2
GATE ME 2015 Set 2
Numerical
+2
-0
The surface integral $$\,\,\int {\int\limits_s {{1 \over \pi }} } \left( {9xi - 3yj} \right).n\,dS\,\,$$ over the sphere given by $${x^2} + {y^2} + {z^2} = 9\,\,$$ is __________.
3
GATE ME 2015 Set 1
Numerical
+2
-0
The velocity field on an incompressible flow is given by
$$V = \left( {{a_1}x + {a_2}y + {a_3}z} \right)i + \left( {{b_1}x + {b_2}y + {b_3}z} \right)j\,$$ $$+ \left( {{c_1}x + {c_2}y + {c_3}z} \right)k,\,\,$$
where $${{a_1} = 2}$$ and $${{c_3} = - 4.}$$ The value of $${{b_2}}$$ is ________.
4
GATE ME 2014 Set 1
+2
-0.6
The integral $$\,\,\oint\limits_C {\left( {ydx - xdy} \right)\,\,}$$ is evaluated along the circle $${x^2} + {y^2} = {1 \over 4}\,$$ traversed in counter clockwise direction. The integral is equal to
A
$$0$$
B
$$- {\pi \over 4}$$
C
$$- {\pi \over 2}$$
D
$${\pi \over 4}$$
GATE ME Subjects
EXAM MAP
Medical
NEET