MATH101 Quiz #3 partially Solved
If x = 3 + 4 + . . . + 20, then x = ________. Select correct
option
· 210.
· 207.
· 250.
· None of these
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
Integration of “cosecx.cotx” with respect to x is ----- Select
correct option
· -Cosecx
· Tanx
· Cosecx
· Cotx
…. UNSOLVED PORTION ….
If x = 3 4 . . . 20, then x = ________. MTH101 …. UNSOLVED QUESTION ….
what is i in summation notation…. UNSOLVED QUESTION ….
Summation of 2 where sum ranges from 0 to 10 equals 20. MTH101…. UNSOLVED QUESTION ….
Which geometrical figure is used for approximating the area under the curve? MTH101…. UNSOLVED QUESTION ….
If f (x) = 2 x 7 is defined on the interval [2, 4), then which of the following is true about it. MTH101…. UNSOLVED QUESTION ….
Which of the following is the indefinite integral of f(x)=3/(x^2) MTH101…. UNSOLVED QUESTION ….
If ‘k’ goes from zero to ‘n’ in the summation of ‘Sink’ then which of the following will be other expression for this given summation such that its lower limit changes to ‘5’? MTH101…. UNSOLVED QUESTION ….
If the integral of f(x) = x and g(x) = 5 from x = 2 to x = 3 is 5 / 2 and 5 respectively, then the integral of h(x) = x 5 from x = 2 to x = 3 is ________. MTH101…. UNSOLVED QUESTION ….
If integral of ‘f(x)’ from [-1,2] = 4 and integral of ‘g(x)’ from [-1,2] = 8 ,than integral of (2f(x) 3g(x)) from [-1,2] =…….. MTH101…. UNSOLVED QUESTION ….
Areabetweenthex−axisandthecurvey=cosx;when0⩽x⩽2Ï€is…. UNSOLVED QUESTION ….
Area between the x−axis and the curve y = cosx; when 0 ⩽ x ⩽ 2Ï€ is…. UNSOLVED QUESTION ….
…. UNSOLVED PORTION END ….
For any continuous function on the interval [0,1], if the area
under this curve is divided into ‘5’ equal rectangles ,then the length of each
rectangle will be……… Select correct option
· 1/4
· 1/5
· ½
· 1
Which of the following is the value of definite integral of 5+5x ,
where the lower limit is -1 and upper limit is 1 ? Select correct option
· 12
· 10
· 14
· 16
If x =(1+2+3+...+10)+{(1^3)+(2^3)+(3^3)+...+ (10^3)}, then x =
_______. Select correct option
· 110.
· 55.
· 3025.
· 3080
If the value of definite integral of a function f(x) taken from 1
to 3 is 9 then its value taken from 3 to 1 is Select correct option
· 9
· 0
· -9
· None of these
Which of the following is the value of definite integral of
f(x)=(x-1), where the lower limit is 0 and upper limit is -1? Select correct
option
· 2/3
· 0
· 3/2
· 1
Which geometrical figure is used for approximating the area under
the curve? Select correct option
· Circle
· Right angled triangle
· Pentagon
· None of these
Summation of ‘kx’ where k goes from 1 to 5 equals Select correct
option
15x
15k
55
None of these
15x
15k
55
None of these
If f(x) = Cos(x) + Sin(x) + x, then which of the following is NOT true about it. Select correct option Its anti – derivative is Sin(x) – Cos(x) + x^2/2 + 4. Its anti – derivative is -Sin(x) – Cos(x) + x^2/2 + 4. Its anti – derivative is Sin(x) – Cos(x) + x^2/2 + 5. None of these.
If x = 5 + 6 + . . . + 40, then x = ________. Select correct option 820. 850. 810. None of these.
If f(x) = Sin(x) + x, then which of the following is true about it Select correct option Its anti – derivative is –Cos(x) + x^2/2 + 10.
Its anti – derivative is Cos(x) + x^2/2 + 10.
Its anti – derivative is Cos(x) + 1.
None of these.
Sum of n-terms of a series whose nth term is ‘n’ = 1/n+1.then what is the sum of the first two terms is ----- Select correct option 5/6 6/5 6 6/4
Let f(x)=x^3 and a= -5 ,b=5 and n= no. of partition of [-3,3]=4
Let the widths of first, second, third and fourth intervals are 3,0,1,2
respectively. Then the “Mesh size” of partition is……………
0 3 1 2
If ‘n’ goes from 1 to 4 and the summation of ‘na’ =Maxima of (e^x)
in the interval[-e,0], then the value of ‘a’ is ----------- Select correct
option 10
-10
1/10
-1/10
Integration of 4Cosx with respect to x is……….. Select correct
option 4Sinx - 4Sinx
If ‘k’ goes from zero to ‘n’ in the summation of ‘Sink’ then which
of the following will be other expression for this given summation such that
its lower limit changes to ‘5’? Select correct option Summation ‘Sin(k+5)’ while ‘k’ goes from ‘5’
to ‘n+5’ Summation ‘Sin(k-5)’ while ‘k’ goes from ‘5’ to ‘n-5’ Summation
‘Sin(k-5)’ while ‘k’ goes from ‘5’ to ‘n+5’ Summation ‘Sin(k+5)’ while ‘k’ goes
from ‘5’ to ‘n-5'
(1^2)+(2^2)+(3^2)+……………..+(50^2) equals-------- NOTE: x^n means
‘x’ to the power ‘n’ Select correct option 42925 55227 6373 None of these
The area between f(x)=-x and the closed interval [-1,0] on x-axis
is ----------
1
2
1/2
-1/2
Integral of x^101 is
NOTE: x^n means ‘x’ to the
power ‘n’
102x^102+C
(1/102)x^102+C
101x^100 +C
None of these
Integral of x^(-10) is
NOTE: x^n means ‘x’ to the
power ‘n’
-10x^(-11)+C
1/(9x^9)+C
- 1/(9x^9)+C
None of these
Summation of 2 where sum ranges
from 0 to 10 equals 20.
True
False
If integral of ‘f(x)’ from
[-1,2] = 4 and integral of ‘g(x)’ from [-1,2] = 8 ,than integral of (2f(x)
+3g(x)) from [-1,2] =……..
30
36
32
38
If the closed interval [-10,x]
is divided into ‘20’ equally spaced subintervals each of which having the width
equals to ‘1’ unit then the value of ‘x’ is --------
20
10
0
30
Integral of (1-2x) from [0,1]
is ………..
1
2
0
3
The estimated area under f(x) =
x from x = 0 to x = 3 with right end points for n = 3 is ________.
7
5
6
None of these
How many subintervals of length
‘2’ will be formed for the interval [4,16] ?
4
5
6
7
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