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Mathematics
Mathematics
Problem
For
f
(
x
)
=
x
2
f(x)=x^{2}
f
(
x
)
=
x
2
on the interval
[
0
,
2
]
[0,2]
[
0
,
2
]
, which of the following equals a value of
c
c
c
in
(
0
,
2
)
(0,2)
(
0
,
2
)
such that
f
(
c
)
f(c)
f
(
c
)
is the average value of
f
f
f
on
[
0
,
2
]
[0,2]
[
0
,
2
]
? a)
8
3
\sqrt{\dfrac{8}{3}}
3
8
b)
4
3
\sqrt{\dfrac{4}{3}}
3
4
c)
2
\sqrt{2}
2
d)
4
3
\dfrac{4}{3}
3
4
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