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Mathematics
Mathematics
Problem
The area (in square units) of a certain region is given by
A
(
k
)
=
k
2
(
4
−
k
)
A(k)=k^2(4-k)
A
(
k
)
=
k
2
(
4
−
k
)
for
0
<
k
<
4
0<k<4
0
<
k
<
4
. For which value of
k
k
k
is
A
(
k
)
A(k)
A
(
k
)
maximized? a)
k
=
2
k=2
k
=
2
b)
k
=
8
3
k=\frac{8}{3}
k
=
3
8
c)
k
=
4
3
k=\frac{4}{3}
k
=
3
4
d)
k
=
3
k=3
k
=
3
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