5
Máximo nas Revisões
Pág. 130
1.1.
42 1 2 2 2 4 2 1 0 1 2
1
3 3 3 3 3 3 3 3
i
i
− − − − −
=
= + + = + + + =
∑
1
1 3 9
3
= + + + =
1 40
13
3 3
= + =
1.2.
( ) ( ) ( ) ( )
5
3
2 1 2 3 1 2 4 1 2 5 1
i
i
=
− = × − + × − + × − +
∑
(
)
(
)
(
)
2 6 1 2 7 1 2 8 1
+ × − + × − + × − =
5 7 9 11 13 15 60
= + + + + + =
2.1.
1 + 3 + 5 + 7 + 9 =
( )
5
1
2 1
i
i
=
−
∑
2.2.
5
1
3 6 9 12 15 3
i
i
=
+ + + + =
∑
2.3.
100
2 3 4 100
2
2 2 2 ... 2 2
i
i=
+ + + + =
∑
3.
1
n
i
i
x A
=
=
∑
( )
1 1 1
2 2 2 2
n n n
i i
i i i
x x
= = =
− = − =
∑ ∑ ∑
1 1
2 2 2 2
n n
i
i i
x A n
= =
= − = −
∑ ∑
4.
52 2 2
1
8 18 5 8 18 18 40 0
i
x x x x x x
=
= − ⇔ × = − ⇔ − − = ⇔
∑
2
18 18 160 18 22
2 2
x x
± + ±
⇔ = ⇔ = ⇔
18 22 18 22
2 2
x x
+ −
⇔ = ∨ = ⇔
20 2
x x
⇔ = ∨ = −
{
}
2 , 20
S= −
5.
(
)
175, 180, 162, 174, 174
x=
ɶ
Pág. 131
6.1.
(
)
1, 0, 0, 2, 2, 3, 3
x= −
ɶ
6.2.
( )
3
3
0 e 2
x x
= =
7.
(
)
1, 2, 2, 3, 3, 3
y=
ɶ
8.1. 2 3 5 8
4,5
4
x+ + +
= =
8.2.
(
)
2 0 1 1 3
1
5
y+ + − + +
= =
8.3. 4 2 3 4 2 5 6
3,6
10
z× + × + × +
= =
9. 1 2 3 4
2,5
4
x+ + +
= =
5 6 7 8
6,5
4
y+ + +
= =
6 8 10 12
9
4
z+ + +
= =
9 2, 5 6,5 9 9
= + ⇔ =
10.
4
1
1
4 2
i
i
x
x
=
= = −
∑
3 6 9 12
7,5
4
y
+ + +
= =
4 ; 4
z x y z x y
= + = +
ɶ
ɶ
ɶ
1
4 7,5 5,5
2
z
= × − + =
Pág. 132
11.
5
1
0
i
i
d
=
=
∑
(
)
4 4
0 1 4 6 0 9
d d
+ − + + + = ⇔ = −
12.1.
5
1
0
i
i
d
=
=
∑
(
)
5 5
1 5 1 0 0 5
d d
+ + − + + = ⇔ = −
12.2.
Cálculo da média:
2 2
d x x
= −
5 3
x
= −
2
x
= −
Cálculo de
1
x
:
1 1
d x x
= −
1 1
1 2 1
x x
= + ⇔ = −
Cálculo de
3
x
:
3 3
d x x
= −
3 3
1 2 3
x x
− = + ⇔ = −
Cálculo de
4
x
:
4 4
d x x
= −
4 4
0 2 2
x x
= + ⇔ = −
Cálculo de
5
x
:
5 5
d x x
= −
5 5
5 2 7
x x
− = + ⇔ = −
Logo,
(
)
1, 3, 3, 2, 7
x
= − − − −
ɶ
12.3.
( ) ( )
2 2
2 2 2
1 5 1 0 5
x
SS
= + + − + + − =
1 25 1 25 52
= + + + =
13.
2 2
1
x
SS x nx
= −
∑
2
20 28 1
n
= − ×
