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Mathematics
Problem
Let
g
(
x
)
=
x
2
g(x)=x^2
g
(
x
)
=
x
2
. If
g
ˉ
1
\bar g_1
g
ˉ
1
is the average value of
g
g
g
on
[
0
,
1
]
[0,1]
[
0
,
1
]
and
g
ˉ
2
\bar g_2
g
ˉ
2
is the average value of
g
g
g
on
[
1
,
2
]
[1,2]
[
1
,
2
]
, what is the ratio
g
ˉ
2
:
g
ˉ
1
\bar g_2:\bar g_1
g
ˉ
2
:
g
ˉ
1
? a)
7
:
3
7:3
7
:
3
b)
1
:
7
1:7
1
:
7
c)
7
:
1
7:1
7
:
1
d)
5
:
1
5:1
5
:
1
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