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Mathematics
Problem
The function
f
(
x
)
=
3
x
2
f(x)=3x^{2}
f
(
x
)
=
3
x
2
is defined on the interval
[
0
,
b
]
[0,b]
[
0
,
b
]
. If the average value of
f
f
f
over this interval equals
12
12
12
, determine the value of
b
.
b\,.
b
.
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