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# MTH301 Quiz # 4 May 15-May17 2013

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Please all students related this subject Share your online Quizzes here to help each other.thanks

Please share the question and their answers of this quiz if anyone has done.
Thanks.

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:

1. R
2. R-{1}
3. R-{0}
4. R-{1,0}

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:

1. Parallel
2. Perpendicular

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:

1. xSin(e^t)
2. xCos(e^t)
3. Sin(e^t)
4. Cos(e^t)

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:

1. R
2. R-{1}
3. R-{0}
4. R-{1,0}

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:

1. (dy/dx)+(dx/dt)
2. (dy/dx)-(dx/dt)
3. (dy/dx).(dx/dt)
4. (dy/dx)/(dx/dt)

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:

1. e^u +Cosu
2. e^u -Cosu
3. -e^u +Cosu
4. -e^u–Cosu

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. utCost
2. -utCost
3. -xtCost
4. xtCost

Quiz # 4

MTH301_Calculus II

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:

1. R
2. R-{1}
3. R-{0}
4. R-{1,0}

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:

1. Parallel
2. Perpendicular

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:

1. xSin(e^t)
2. xCos(e^t)
3. Sin(e^t)
4. Cos(e^t)

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:

1. R
2. R-{1}
3. R-{0}
4. R-{1,0}

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:

1. (dy/dx)+(dx/dt)
2. (dy/dx)-(dx/dt)
3. (dy/dx).(dx/dt)
4. (dy/dx)/(dx/dt)

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:

1. e^u +Cosu
2. e^u -Cosu
3. -e^u +Cosu
4. -e^u–Cosu

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. utCost
2. -utCost
3. -xtCost
4. xtCost

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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