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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
2
+
1
f(x)=x^{3}-3x^{2}+1
f
(
x
)
=
x
3
−
3
x
2
+
1
be defined on the closed interval
[
−
1
,
2
]
[-1,2]
[
−
1
,
2
]
. At which value of
x
x
x
does
f
f
f
attain its absolute maximum on this interval? a)
x
=
2
x=2
x
=
2
b)
x
=
0
x=0
x
=
0
c)
x
=
−
1
x=-1
x
=
−
1
d)
x
=
2
x=\sqrt{2}
x
=
2
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