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MTH101 - Calculus And Analytical Geometry VU Online Quiz No. 02 Solution and Discussion Spring 2013 Due Date Jun 28, 2013 ..How to Join Subject Study Groups & Get Helping Material?.. Views: 1022

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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 ________.

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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

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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

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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

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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

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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

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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

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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

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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.