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MTH101 - Calculus And Analytical Geometry VU Online Quiz No. 03 Solution and Discussion Fall 2013 Due Date: Feb 12, 2014
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This is to inform that Quiz # 03 will be opened on Feb 11, 2014 and last date to attempt quiz will be Feb 12, 2014
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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). = answer
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)] = answer
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 = answer
-6
1
undetermined
4.If ‘n’ goes from 1 to any large ODD number then the summation of ‘(-1)^n’ = ---------
-1 = answer
0
1
that specific large ODD number
5.1+2+3………+t equals
n(n+1)/2 = answer
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 = answer
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 = answer
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 = answer
9.Which of the following is the integral of sin(2x)?
cos(2x)+C
2cos(2x)+C
–(1/2)cos(2x)+C = answer
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 = answer
Square of n(n+1)/
6
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