MTH101 Quiz No. 3 File 2

Question # 1 of 10 ( Start time: 02:17:11 PM ) Total Marks: 1
Areabetweenthecurvesy=4+3x−x2andx−axisinsq.unitis
Select correct option:

1253
1254
1256
Noneofthese

Question # 2 of 10 ( Start time: 02:18:40 PM ) Total Marks: 1
The volume of cylindrical shell for R = 5, r = 3 and h = 2 is -----------
Select correct option:
25*pi
30*pi
32*pi
36*pi


Question # 3 of 10 ( Start time: 02:20:02 PM ) Total Marks: 1
Arc length of the curve y=x from x=0 to x=1 is .........
Select correct option:

0
22√
2√
None of these.


Question # 4 of 10 ( Start time: 02:21:02 PM ) Total Marks: 1
Length of the curve y=3x from x=0 to x=1 is........
Select correct option:
Sqrt(10)
Sqrt(5)
0
None of these.


Question # 5 of 10 ( Start time: 02:22:30 PM ) Total Marks: 1
Ifm⩽f(x)⩽Mforanytwonumbersuchthat,a⩽x⩽b,whichofthefollowingistrue
Select correct option:

m(b−a)⩾∫baf(x)dx⩽M(b−a)
m(b−a)⩽∫baf(x)dx⩽M(b−a)
m(b−a)⩾∫baf(x)dx⩾M(b−a)
none of these


Question # 6 of 10 ( Start time: 02:23:45 PM ) Total Marks: 1
Derivative of f(x)= a-7,where a is a constant is....
Select correct option:
a
-7
0
a-7


Question # 7 of 10 ( Start time: 02:24:35 PM ) Total Marks: 1
The volume of cylindrical shell for R = 3, r = 2 and h = 1 is -----------
Select correct option:
4*pi
5*pi
6*pi
7*pi


Question # 8 of 10 ( Start time: 02:25:31 PM ) Total Marks: 1
Iff(x)=x√,then∫12π[f(x)]2dxis−−−−−−−
Select correct option:

π2
3π2
5π2
7π2


Question # 9 of 10 ( Start time: 02:26:43 PM ) Total Marks: 1
For any constant number c,
∫bacf(x)dx=
which of the following is correct
Select correct option:

c∫baf(x)dx
∫baf(x)dx+c


Question # 10 of 10 ( Start time: 02:27:09 PM ) Total Marks: 1
In integration of f(x) =x(x^2-3)^4 from x=0 to x=2 by substitution method, we take u=x^2-3 then du ................
Select correct option:
2x
2xdx
dx
x