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Mathematics
Mathematics
Problem
Let
v
(
t
)
=
t
3
−
6
t
2
+
9
t
v(t)=t^{3}-6t^{2}+9t
v
(
t
)
=
t
3
−
6
t
2
+
9
t
represent the velocity (in m/s) of a particle for
0
<
t
<
4
0<t<4
0
<
t
<
4
. On which intervals in this domain is the particle’s speed increasing? a)
(
1
,
3
)
(1,3)
(
1
,
3
)
b)
(
1
,
3
)
∪
(
3
,
4
)
(1,3)\cup(3,4)
(
1
,
3
)
∪
(
3
,
4
)
c)
(
0
,
1
)
∪
(
3
,
4
)
(0,1)\cup(3,4)
(
0
,
1
)
∪
(
3
,
4
)
d)
(
0
,
1
)
(0,1)
(
0
,
1
)
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