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Mathematics
Problem
The function
h
(
x
)
=
x
2
−
4
x
h(x)=x^{2}-4x
h
(
x
)
=
x
2
−
4
x
has average value
0
0
0
over the interval
[
a
,
a
+
4
]
[a,\,a+4]
[
a
,
a
+
4
]
. If
a
<
a
+
4
a<a+4
a
<
a
+
4
, then the value of
a
2
a^{2}
a
2
is a)
8
8
8
b)
8
3
\dfrac{8}{3}
3
8
c)
16
3
\dfrac{16}{3}
3
16
d)
4
3
\dfrac{4}{3}
3
4
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