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Sir Quiz conference hoti hy yahan,,,,agr hoti hy to kb???
1 The first order partial derivative of “z=(1/Sinxy)” is continuous-----------.
only at (0,0)
somewhere
nowhere
everywhere
2. The function “z=f(x,y)” represents a surface in/on--------.
Plane
space
line
vector space in plane
3 The mixed 2nd order partial derivatives of “z=xy” is equal to -------.
x^2
y^2
xy
1
xy
4 For which of the following values of “y”, the partial derivative of “z=2/y(x-1)” exists?
R
R-{1}
R-{0}
R-{1,0}
5 If “y=Sint” and “t=e^(xu)” then which of the following is partial derivative of ‘y’ w.r.t ‘x’?
xtCost
-xtCost
utCost
-utCost
6 In space, the intersection of “z= Sinxy” and “x=b” gives a/an --------.
a Cosine curve
a Sine curve
straight line
another surface
7 The first order partial derivative of “z=Cos(x+y)” vanishes whenever (x+y) is ------------.
zero
equal to integral multiple of ‘pi’
equal to integral multiple of ‘pi/2’
infinty
8 If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is Infinity, then tangent plane at that point will be perpendicular to--------.
XY-plane
YZ-plane
XZ-plane
Any arbitrary plane
Question # 8 of 8 ( Start time: 08:30:38 PM )
For which of the following values of “x”, the partial derivative of “z=2/y(x-1)” exists? Select correct option:
Question # 7 of 8 ( Start time: 08:30:20 PM )
If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is zero, then tangent plane at that point will be--------to XY-plane.
Select correct option:
Question # 6 of 8 ( Start time: 08:26:58 PM )
If “y=Sinx” and “x=e^t” , then by Chain rule, (dy/dt) = --------.
Select correct option:
Question # 5 of 8 ( Start time: 08:26:20 PM )
For which of the following values of “y”, the partial derivative of “z=2/y(x-1)” exists?
Select correct option:
Question # 4 of 8 ( Start time: 08:23:37 PM )
If “y=f(x)” and “x=g(t)” , then by Chain rule, (dy/dt) =---------.
Select correct option:
Question # 3 of 8 ( Start time: 08:22:46 PM )
If “y=x+t”, “x=e^u” and “t=Sinu”, then by Chain’s rule, (dy/du) = ---------.
Select correct option:
Question # 2 of 8 ( Start time: 08:21:53 PM )
If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is Infinity, then tangent plane at that point will be--------to XY-plane.
Select correct option:
1.Parallel
2.Perpendicular
Question # 1 of 8 ( Start time: 08:21:09 PM )
If “y=Sint” and “t=e^(xu)” then which of the following is partial derivative of ‘y’ w.r.t ‘u’?
Select correct option:
unsolve...
Question # 8 of 8 ( Start time: 08:30:38 PM )
For which of the following values of “x”, the partial derivative of “z=2/y(x-1)” exists? Select correct option:
Question # 7 of 8 ( Start time: 08:30:20 PM )
If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is zero, then tangent plane at that point will be--------to XY-plane.
Select correct option:
Question # 6 of 8 ( Start time: 08:26:58 PM )
If “y=Sinx” and “x=e^t” , then by Chain rule, (dy/dt) = --------.
Select correct option:
Question # 5 of 8 ( Start time: 08:26:20 PM )
For which of the following values of “y”, the partial derivative of “z=2/y(x-1)” exists?
Select correct option:
Question # 4 of 8 ( Start time: 08:23:37 PM )
If “y=f(x)” and “x=g(t)” , then by Chain rule, (dy/dt) =---------.
Select correct option:
Question # 3 of 8 ( Start time: 08:22:46 PM )
If “y=x+t”, “x=e^u” and “t=Sinu”, then by Chain’s rule, (dy/du) = ---------.
Select correct option:
Question # 2 of 8 ( Start time: 08:21:53 PM )
If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is Infinity, then tangent plane at that point will be--------to XY-plane.
Select correct option:
1. Parallel
2. Perpendicular
Question # 1 of 8 ( Start time: 08:21:09 PM )
If “y=Sint” and “t=e^(xu)” then which of the following is partial derivative of ‘y’ w.r.t ‘u’?
Select correct option:
1 The first order partial derivative of “z=(1/Sinxy)” is continuous-----------.
only at (0,0)
somewhere
nowhere
everywhere
2. The function “z=f(x,y)” represents a surface in/on--------.
Plane
space
line
vector space in plane
3 The mixed 2nd order partial derivatives of “z=xy” is equal to -------.
x^2
y^2
xy
1
xy
4 For which of the following values of “y”, the partial derivative of “z=2/y(x-1)” exists?
R
R-{1}
R-{0}
R-{1,0}
5 If “y=Sint” and “t=e^(xu)” then which of the following is partial derivative of ‘y’ w.r.t ‘x’?
xtCost
-xtCost
utCost
-utCost
6 In space, the intersection of “z= Sinxy” and “x=b” gives a/an --------.
a Cosine curve
a Sine curve
straight line
another surface
7 The first order partial derivative of “z=Cos(x+y)” vanishes whenever (x+y) is ------------.
zero
equal to integral multiple of ‘pi’
equal to integral multiple of ‘pi/2’
infinty
8 If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is Infinity, then tangent plane at that point will be perpendicular to--------.
XY-plane
YZ-plane
XZ-plane
Any arbitrary plane
1.Magnitude of the Force vector: F = 30Newton, is
30 Newton
-30 Newton
2. If the velocity (V1) of a car is 20m/s and velocity (V2) of bike is 40m/s, where both velocities are southward then which of the following would be the dot product of these velocities?
-800
Zero
-800
800
2
3.Vector product of two non-zero vectors lying in xy-plane results into-------.
a vector perpendicular to least one vector
a vector perpendicular to both vectors
a vector not perpendicular to both vectors
a scalar
4.How many directional derivatives can be found at any point on the surface:z = f(x,y)?
Unique
No such derivative can be found
Finitely many
Infinitely many
finitely many
5. If two dogs are pulling a bone with force=20Newtons in opposite direction, then the angle b/w two forces is--------- degree
180
0
90
270
6.Geometrically the magnitude of Scalar Triple Product gives the----------.
Area of Triangle
Area of Parallelogram
Volume of Parallelepiped
Volume of Sphere
7.The surface:z=f(x,y) neither falls nor rises(decreases or increases) at any point in the ----------- of Gradient(z).
Direction
Opposite to the direction
Direction perpendicular to
me: Arbitrary direction
8.Length or magnitude of a unit vector is------.
1
0
Welcome!
Question # 1 of 10 ( Start time: 08:42:16 PM ) Total Marks: 1
The first order partial derivative of “z=Cos(x+y)” vanishes whenever
(x+y) is ------------.
Select correct option:
zero
equal to integral multiple of ‘pi’
equal to integral multiple of ‘pi/2’
infinty
Question # 2 of 10 ( Start time: 08:43:48 PM ) Total Marks: 1
Geometrically the magnitude of Scalar Triple Product gives the--------
----.
Select correct option:
Area of Triangle
Area of Parallelogram
Volume of Parallelepiped
Volume of Sphere
Question # 3 of 10 ( Start time: 08:44:58 PM ) Total Marks: 1
If “y=Sint” and “t=e^(xu)” then which of the following is partial
derivative of ‘y’ w.r.t ‘x’?
Select correct option:
xtCost
-xtCost
utCost
-utCost
Question # 4 of 10 ( Start time: 08:46:27 PM ) Total Marks: 1
If the velocity (V1) of a car is 20m/s and velocity (V2) of bike is
40m/s, where both velocities are southward then which of the following
would be the dot product of these velocities?
Select correct option:
-800
Zero
800
2
Question # 5 of 10 ( Start time: 08:47:38 PM ) Total Marks: 1
If the rectangular components of a vector in xy-plane are [3,4], then
the magnitude of the vector is ----------.
Select correct option:
12
7
5
1
Question # 6 of 10 ( Start time: 08:49:13 PM ) Total Marks: 1
The first order partial derivative of “z=Sin(x+y)” vanishes whenever
(x+y) is ------------.
Select correct option:
zero
equal to integral multiple of ‘pi’
equal to integral multiple of ‘pi/2’
infinty
Question # 7 of 10 ( Start time: 08:51:28 PM ) Total Marks: 1
A zero vector has magnitude equal to zero and ---------- direction.
Select correct option:
arbitrary
no
upward
downward
Question # 8 of 10 ( Start time: 08:53:16 PM ) Total Marks: 1
If a vector of magnitude ‘4’ is making angle 30-degree with Y-axis then
its component vector along x-axis is ----------.
Select correct option:
2
2*sqrt(3)
-2
-2*sqrt(3)
Question # 9 of 10 ( Start time: 08:54:47 PM ) Total Marks: 1
Cross product of two non zero vectors results into a vector lying-----
----.
Select correct option:
in the plane perpendicular to least one vector
in the plane perpendicular to none of these two vectors
along one of the vector
in the plane perpendicular to both vectors
Question # 10 of 10 ( Start time: 08:56:12 PM ) Total Marks: 1
Magnitude of the Force vector: F = -30Newton, is ------------.
Select correct option:
30 Newton
-30 Newton
BR,
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