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Mathematics
Mathematics
Problem
Let
f
f
f
be continuous on
[
0
,
4
]
[0,4]
[
0
,
4
]
with average value
7
7
7
over that interval. What constant
c
c
c
minimizes
∫
0
4
(
f
(
x
)
−
c
)
2
d
x
\displaystyle \int_{0}^{4}\bigl(f(x)-c\bigr)^2\,dx
∫
0
4
(
f
(
x
)
−
c
)
2
d
x
? a)
6
6
6
b)
4
4
4
c)
7
7
7
d)
8
8
8
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