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Mathematics
Problem
A population
P
P
P
of insects evolves according to a differentiable function for
t
≥
0
t\ge 0
t
≥
0
hours. Its rate of change is
P
′
(
t
)
=
t
2
−
9
P'(t)=t^{2}-9
P
′
(
t
)
=
t
2
−
9
. On which interval is the population increasing? a)
(
0
,
3
)
(0,3)
(
0
,
3
)
b)
(
0
,
∞
)
(0,\infty)
(
0
,
∞
)
c)
(
3
,
∞
)
(3,\infty)
(
3
,
∞
)
d)
(
0
,
3
)
∪
(
3
,
∞
)
(0,3)\cup(3,\infty)
(
0
,
3
)
∪
(
3
,
∞
)
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