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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
k
x
2
f(x)=kx^{2}
f
(
x
)
=
k
x
2
. If the average value of
f
f
f
on the interval
[
0
,
k
]
[0,k]
[
0
,
k
]
is
12
12
12
, where
k
>
0
k>0
k
>
0
, then
k
k
k
equals a)
24
3
\sqrt[3]{24}
3
24
b) 6 c)
36
3
\sqrt[3]{36}
3
36
d)
12
\sqrt{12}
12
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