MTH101 - SOLVED Online Quiz No.2 Fall 2013
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
MTH101 Quiz No-2 Fall 2013
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
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
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
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.
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
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.
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
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
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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