Assignment No. 3
MTH 101 (Spring 2012)
Maximum Marks: 20
Due Date: 28th June. 2012
DON’T MISS THESE Important instructions:
Question#1: Marks: 10
Find the area of the region confined by and .
Question#2: Marks: 10
Find the volume of the solid that is obtained when the region under the curve over the interval [5, 24] is revolved about x-axis.
Solution of Second question
I AM NOT RESPONSIBLE FOR ANY THING I SOLVED THIS QUIZ ACCORDING TO MY KNOWLEDGE
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 ( not sure )
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
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 ( not sure )
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
