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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
x
1
/
3
(
6
−
x
)
g(x)=x^{1/3}(6-x)
g
(
x
)
=
x
1/3
(
6
−
x
)
for
0
≤
x
≤
6
0\le x\le6
0
≤
x
≤
6
. Determine the value of
x
x
x
in this interval at which
g
g
g
attains its absolute maximum.
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