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MTH 101 Quiz no. 3 Jan 25, 2016
Question # 1 of 10 ( Start time: 03:43:28 PM ) Total Marks: 1
If the function f(x)= (x^2)+1 satisfies all the conditions of Rolle’s theorem in the interval [-1,1] , then the value of ‘c’ will be……..
Select correct option
0
2
3
4
Question # 2 of 10 ( Start time: 03:44:36 PM ) Total Marks: 1
‘x.ln(x/e)’ is the anti-derivative of ‘lnx’ if and only if the derivative of ‘x.ln(x/e)’ is euqal to --------
Select correct option
x
xln(x/e)
lnx
ln(x/e)
Question # 3 of 10 ( Start time: 03:45:24 PM ) Total Marks: 1
Integral of (5/2)cos(x) is
Select correct option
(3/2)csc(x)+C
(5/2)tan(x)+C
(5/2)sin(x)+C
None of these
Question # 4 of 10 ( Start time: 03:45:45 PM ) Total Marks: 1
summation of (n+i) ; (i varies from 1 to 10 ) , here ‘i’ is known as the …….. of the summation.
Select correct option
Index
Lower limit
Upper limit
None of these
Question # 5 of 10 ( Start time: 03:46:13 PM ) Total Marks: 1
The estimated area under f(x) = x^2 + 2 from x = 1 to x = 5 with right end points for n = 2 is ________.
Select correct option
30.
28.
50.
76.
Question # 6 of 10 ( Start time: 03:46:53 PM ) Total Marks: 1
(1^3)+(2^3)+(3^3)+….+(20^3) equals --------- NOTE: x^n means ‘x’ to the power ‘n’
Select correct option
42925
34548
44100
None of these
Question # 7 of 10 ( Start time: 03:47:40 PM ) Total Marks: 1
If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then -----
Select correct option
x>12
x>5
x>3
x>1
Question # 8 of 10 ( Start time: 03:48:15 PM ) Total Marks: 1
x=1 is a critical value of the function. f(x)=(x-1)^3 NOTE: x^n means ‘x’ to the power ‘n’
Select correct option
False
True
Question # 9 of 10 ( Start time: 03:48:42 PM ) Total Marks: 1
If f(x) =cos(x) then mean value theorem can be applied on this in the interval (pi/2, 3pi/2)
Select correct option
True
False
Question # 10 of 10 ( Start time: 03:49:00 PM ) Total Marks: 1
If x =(1+2+3+...+10)+{(1^3)+(2^3)+(3^3)+...+ (10^3)}, then x = _______.
Select correct option
110.
55.
3025.
3080.
Pray for me
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