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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
(
x
−
3
)
3
+
2
(
x
−
3
)
2
g(x)=(x-3)^{3}+2(x-3)^{2}
g
(
x
)
=
(
x
−
3
)
3
+
2
(
x
−
3
)
2
. Determine the average value of
g
g
g
on the interval
[
2
,
4
]
[2,4]
[
2
,
4
]
.
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