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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
x
3
−
6
x
f(x)=x^{3}-6x
f
(
x
)
=
x
3
−
6
x
, the average value on the interval
[
a
,
2
a
]
[a,2a]
[
a
,
2
a
]
is
0
0
0
. Determine all non–zero values of
a
a
a
.
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