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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
(
x
−
4
)
(
x
−
6
)
f(x)=x(x-4)(x-6)
f
(
x
)
=
x
(
x
−
4
)
(
x
−
6
)
, and define
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
g(x)=\int_{0}^{x} f(t)\,dt
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
. At which of the following
x
x
x
–values does
g
g
g
attain a relative maximum on the interval
0
<
x
<
6
0<x<6
0
<
x
<
6
? a)
x
≈
1.6
x\approx 1.6
x
≈
1.6
b)
x
=
6
x=6
x
=
6
c)
x
=
4
x=4
x
=
4
d)
x
=
5
x=5
x
=
5
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