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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
2
+
2
f(x)=x^{3}-3x^{2}+2
f
(
x
)
=
x
3
−
3
x
2
+
2
on the closed interval
[
0
,
4
]
[0,4]
[
0
,
4
]
. Determine the
x
x
x
-value at which
f
f
f
attains its absolute minimum on
[
0
,
4
]
[0,4]
[
0
,
4
]
, and give that minimum value.
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