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Mathematics
Problem
To discourage large parameter values, the error function
E
(
k
)
=
(
3
−
k
)
2
+
(
5
−
k
)
2
+
(
7
−
k
)
2
+
6
k
2
E(k)=(3-k)^2+(5-k)^2+(7-k)^2+6k^2
E
(
k
)
=
(
3
−
k
)
2
+
(
5
−
k
)
2
+
(
7
−
k
)
2
+
6
k
2
is minimized with respect to
k
k
k
. What value of
k
k
k
yields the minimum of
E
E
E
? a)
5
2
\dfrac{5}{2}
2
5
b)
5
3
\dfrac{5}{3}
3
5
c)
10
3
\dfrac{10}{3}
3
10
d)
5
5
5
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