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MTH101 - Calculus And Analytical Geometry VU Online Quiz No. 02 Solution and Discussion Spring 2013 Due Date Jun 28, 2013

MTH101 - Calculus And Analytical Geometry VU Online Quiz No. 02 Solution and Discussion Spring 2013 Due Date Jun 28, 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. 

mth101 ka quiz # 2 hai last date 28 hai .agr kisi ke pas quiz sample hai wo plz ad kr de.

lec # 23 to 29

MTH101 - Calculus And Analytical Geometry SOLVED Online Quiz No.2 

1.If Sin(3x^2) / 6 + C is the anti–derivative of a function f(x), then f(x) = __________.

x^2 Cos(3x^2).

  • x Cos(3x^2).

x Cos(3x).

none

2.Which of the following is the integral of Sin(3x+5) with respect to x ?

-1/3[-Cos(3x+5)]

  • 1/3[-Cos(3x+5)]

1/15[-Cos(3x+5)]

-Cos(3x+5)

3.If ‘n’ goes from 1 to 3 and the summation of ‘na’ = 6a, then the value of ‘a’ is ----------

  • 6

-6

1

undetermined

4.If ‘n’ goes from 1 to any large ODD number then the summation of ‘(-1)^n’ = ---------

  • -1

0

1

that specific large ODD number

5.1+2+3………+t equals

n(n+1)/2

  • t(t+1)/2

n(n+1)(2n+1)/6

none

6.If definite integral of f(x)=Sinx over [a,0] is equal to ‘-2’ then the value ‘a’ is---------

pi/2

  • pi

0

-pi

7.If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then -----

x>12

x>5

  • x>3 

x>1

8.If [-8,8] is subdivided into ‘16’ equally spaced subintervals, then the RIGHT end point of 13th sub-interval will be--------.

2

3

4

  • 5

9.Which of the following is the integral of sin(2x)?

cos(2x)+C

2cos(2x)+C

  • –(1/2)cos(2x)+C

none

10.Sum of cubes of n-terms of a series whose nth term is ‘n’ = ---

Square of n(n+1)(2n+1)/6

Square of n(n+1)/2

  • Square of (n+1)/2 (just a guess)

Square of n(n+1)/6

thanx sir but koi current quiz share ker da plz

Question # 1 of 10

Total Marks: 1

The derivative of the area under the continuous function f(x)= 2+3Sinx in the interval[-pi,pi] is---------

Question # 2 of 10

Total Marks: 1

For the function f(x)=|x|-1, if f(-1)=f(1)=0 then which of the following conclusion can be drawn about the point ‘c’ in the interval [-1,1] such that f ’(c)=0?

Question # 3 of 10

Total Marks: 1

If ‘n’ goes from 1 to 3 and the summation of ‘na’ = derivative of Cosx at (pi/2), then the value of ‘a’=------

Question # 4 of 10

Total Marks: 1

If Sin(x^3) / 3 + C is the anti–derivative of a function f(x), then f(x) = __________. Note: where C is a constant

Question # 5 of 10

Total Marks: 1

In Rolle’s theorem, f(x) is continuous in closed interval [a,b] and differentiable in open interval (a,b).Then why we don’t discuss its differentiability in the closed interval [a,b] because ---------

Question # 6 of 10

Total Marks: 1

If f'(r) =0 at some approximation “r” then we cannot proceed on Newton’s method.

Question # 7 of 10

Total Marks: 1

To find the indefinite integral by substitution of the function f(x)=(x^2).Sqrt(1-x), which of the following will be taken as ‘u’ to simplify the integrand?

Question # 8 of 10  

Total Marks: 1

If the indefinite integral of ‘x’ = indefinite integral of ‘y’ , then its corresponding algebraic expression independent of derivative and integral can be ------------

Question # 9 of 10

Total Marks: 1

Critical point for f(x) = -Cosx on [-pi/2,pi/2] are ------

Question # 10 of 10

Total Marks: 1

The integral of f(x) = (2x^3 + 10x) / (10x^2 + 11) from x = 5 to x = 5 is ________.

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. 

Area of a rectangle whose width is 5 units and length is 6 units will be ….

Select correct option:

11 units        

22 units                     

30 units

 

Top of Form

Shafeeq Ur Rehman



Quiz Start Time: 08:58 PM

Time Left

75
sec(s)

Question # 2 of 10 ( Start time: 08:59:55 PM )

Total Marks: 1

1+2+3……….+1000 equals -------

Select correct option:

1000

3000

500500

None of these

Bottom of Form

 

Top of Form

Shafeeq Ur Rehman  



Quiz Start Time: 08:58 PM

Time Left

74
sec(s)

Question # 3 of 10 ( Start time: 09:01:17 PM )

Total Marks: 1

Integration of 4Cosx with respect to x is………..

Select correct option:

4Sinx

- 4Sinx

Bottom of Form

 

 

Top of Form

Shafeeq Ur Rehman



Quiz Start Time: 08:58 PM

Time Left

85
sec(s)

Question # 4 of 10 ( Start time: 09:02:47 PM )

Total Marks: 1

If Newton’s Method succeeded to get the approximate solution of an equation, then which of the following is NOT true about it.

Select correct option:

The slope of the tangent line (at any approximated point) must be non zero.

The tangent line (at any approximated point) is not parallel to x-axis.

The sequence of approximated points not convergent to the exact solution

None of these.

Bottom of Form

 

 

Top of Form

Shafeeq Ur Rehman  



Quiz Start Time: 08:58 PM

Time Left

86
sec(s)

Question # 5 of 10 ( Start time: 09:04:16 PM )

Total Marks: 1

Integral of (1-2x) from [0,1] is ………..

Select correct option:

1

2

0

3

Bottom of Form

 

Top of Form

 Shafeeq Ur Rehman



Quiz Start Time: 08:58 PM

Time Left

78
sec(s)

Question # 6 of 10 ( Start time: 09:05:21 PM )

Total Marks: 1

If f(x) = Cos(x) + x, then which of the following is NOT true about it.

Select correct option:

Its anti – derivative is Sin(x) + x^2/2 + 4.

Its anti – derivative is Sin(x) + x^2/2 + 6.

Its anti – derivative is Sin(x) + x^2/2 + 10.

Its anti – derivative is -Sin(x) + x^2/2 + 4.

Bottom of Form

 

 

Top of Form

 Shafeeq Ur Rehman



Quiz Start Time: 08:58 PM

Time Left

84
sec(s)

Question # 7 of 10 ( Start time: 09:06:54 PM )

Total Marks: 1

Integral of 5^2 is NOTE: x^n means ‘x’ to the power ‘n’

Select correct option:

(1/3)5^3   

10

25x

None of these

Bottom of Form

 

 

Top of Form

Shafeeq Ur Rehman



Quiz Start Time: 08:58 PM

Time Left

71
sec(s)

Question # 8 of 10 ( Start time: 09:08:19 PM )

Total Marks: 1

In the indefinite integral of x(y^2) w.r.t ‘y’ , the term ….. serve to identify the independent variable in the function.

Select correct option:

X

Y

dy

y^2

Bottom of Form

 

Top of Form

Shafeeq Ur Rehman


Quiz Start Time: 08:58 PM

Time Left

76
sec(s)

Question # 10 of 10 ( Start time: 09:11:20 PM )

Total Marks: 1

If f(x) = Sin (5x), then which of the following is NOT true about it.

Select correct option:

 

Its anti – derivative can be

–Cos (5x) + 3

 

Its anti – derivative can be

–Cos (5x) / 5 + 4.

 

Its anti – derivative can be

–Cos (5x) / 5 + 6.

 

Its anti – derivative can be

–Cos (5x) / 5 + 10.

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