Time Left - 15:00 mins
GATE EC 2021: Engineering Mathematics Quiz 12 (App update required to attempt this test)
Attempt now to get your rank among 240 students!
Question 1
If C is the rectangle curve that shown below, so the value of
(y4 – 2y) dx – (6x – 4xy3) dy is __
Question 2
Consider the time-varying vector
in Cartesian coordinates,
Where
is a constant. When the vector magnitude |I| is at its minimum value, the angle 0 that I make with the x axis (in degrees, such that
) is
in Cartesian coordinates, Where
is a constant. When the vector magnitude |I| is at its minimum value, the angle 0 that I make with the x axis (in degrees, such that) isQuestion 3
Let 
If 
is a unit vector such that 
then 
is equal to
If is a unit vector such that then is equal to Question 4
A vector field D = 
exists inside a cylindrical region enclosed by the surfaces r = 1, z = 0 and z = 5. Let S be the surface bounding this cylindrical region. The surface integral of this field on S 
is _____.
exists inside a cylindrical region enclosed by the surfaces r = 1, z = 0 and z = 5. Let S be the surface bounding this cylindrical region. The surface integral of this field on S is _____.Question 5
The directional derivative of f (x, y, z) =x2 - y2 +2z2 at P (1, 2, 3) in the direction of line PQ, where Q = (5, 0, 4), is ________.
Question 6
If 
and the angle between 
is 
then 
is equal to ________.
and the angle between is then is equal to ________. - 240 attempts
- 2 upvotes
- 2 comments
Feb 23ESE & GATE EC
