In Problems 11 − 22 , use U = u n i v e r s a l s e t = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 1 , 3 , 4 , 5 , 9 } , B = { 2 , 4 , 6 , 7 , 8 } , and C = { 1 , 3 , 4 , 6 } to find each set. A ∩ B ¯
In Problems 11 − 22 , use U = u n i v e r s a l s e t = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 1 , 3 , 4 , 5 , 9 } , B = { 2 , 4 , 6 , 7 , 8 } , and C = { 1 , 3 , 4 , 6 } to find each set. A ∩ B ¯
Solution Summary: The author explains that the intersection of A and B is the set consisting of elements that belong to both
U
=
u
n
i
v
e
r
s
a
l
s
e
t
=
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
}
,
A
=
{
1
,
3
,
4
,
5
,
9
}
,
B
=
{
2
,
4
,
6
,
7
,
8
}
,
and
C
=
{
1
,
3
,
4
,
6
}
to find each set.
Q1/Details of square footing are as follows: DL = 800 KN, LL = 500 kN,
Fy=414 MPa, Fc = 20 MPa Footing, qa = 120 kPa, Column (400x400)
mm. Determine the dimensions of footing and thickness?
Q2/ For the footing system shown in Figure below, find the suitable
size (BxL) for: 1. Non uniform pressure, 2. Uniform pressure,
3.Uniform pressure with moment in clockwise direction. (Use qmax=qall
=200kPa).
Property, line
M=200KN.m
1m
P-1000KN
Q2/ Determine the size of square footing to carry net allowable load of 400 kN. FS-3.
Use Terzaghi equation assuming general shear failure.
400KN
1 m
+= 35"
C=0.0
Ya = 18.15 kN/m³
+=25"
C=50 kN/m²
Ya 20 kN/m³
4
x+3
and g(x)=x2-9
4X-10
2X
--13) The domain of rational expression
A) 1R. {-2,-8}
AB
-14) Let f(x) =
B) 1R. {2,-4,-8}
4X-12
x² +6x-16
X3+7X²+12X
?
C) 1R \ {-4,-3,0}
then f(x) + g(x) is equal ro
D) IR
2
A)
B)
c)
D)
x²-9
x2-9
x²-9
x+4
DB
5x-4
A
B
If
+
then the value of B is equal to
X+1
A) 4 B) 2
C) 5 D) 3
4X
4x+4
С.В....
x2+5X+6
x2
(x-2)(x+1) X-2
AC 16 The solution set of the equation
A){4}
B) {-3} C){ 1}
17 The solution set of the equation
A) (-3,-2) B) [-3,0) C)[-3,-2] D). [-2,0)
BA
-18) Which one of the following is proper fraction?
2x+4 ≤0
入×1
x+2x+4
(x+1)(x+2)
2x+4x+2
=
4
X+1
is equal to
D). {-5}
≤0
A)
x6 +4
2x+12
2X
x +4
B)
c)
x2-9
AL
2x+12
D)
x+4
14) let g(x) = [x-3],then g(-2) is equal to
A) -5 B)-6
C)-3 D) 3
Part III work out (show every step cleary) (2pt)
20.
E9) Find the solution set of the equation
2x+4
x+1
≤0
P(x)
(a)
P(x) =≤0
2x+4 50
x+1
x+1≤ 2x+4
(x-1)(x-2)
x= 1 or x=2
solution is {1.2}
x-1=0 of x-2=0
x = 1 or
= 2
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