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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
[
0
,
4
]
[0,4]
[
0
,
4
]
. Which of the following values of
c
c
c
in
(
0
,
4
)
(0,4)
(
0
,
4
)
satisfies
f
(
c
)
f(c)
f
(
c
)
equal to the average value of
f
f
f
on
[
0
,
4
]
[0,4]
[
0
,
4
]
? a)
2
2
2
b)
3
3
3
c)
7
2
\dfrac{7}{2}
2
7
d)
0
0
0
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