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Mathematics
Mathematics
Problem
Consider
h
(
x
)
=
x
3
−
6
x
2
+
9
x
+
2
h(x)=x^{3}-6x^{2}+9x+2
h
(
x
)
=
x
3
−
6
x
2
+
9
x
+
2
on the closed interval
[
0
,
5
]
[0,5]
[
0
,
5
]
. At which
x
x
x
-value(s) does
h
h
h
attain its absolute minimum on this interval? a)
x
=
3
only
x=3\text{ only}
x
=
3
only
b)
x
=
1
and
x
=
3
x=1\text{ and }x=3
x
=
1
and
x
=
3
c)
x
=
0
and
x
=
3
x=0\text{ and }x=3
x
=
0
and
x
=
3
d)
x
=
0
only
x=0\text{ only}
x
=
0
only
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