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Mathematics
Mathematics
Problem
The position of a particle is given by
s
(
t
)
=
t
3
−
6
t
2
+
9
t
+
4
s(t)=t^{3}-6t^{2}+9t+4
s
(
t
)
=
t
3
−
6
t
2
+
9
t
+
4
meters for
0
≤
t
≤
4
0\le t\le4
0
≤
t
≤
4
. Determine the subinterval(s) of
0
≤
t
≤
4
0\le t\le4
0
≤
t
≤
4
on which the particle is speeding up.
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