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Mathematics
Mathematics
Problem
A particle’s position along a line is
f
(
t
)
=
t
3
−
6
t
2
+
9
t
f(t)=t^{3}-6t^{2}+9t
f
(
t
)
=
t
3
−
6
t
2
+
9
t
meters for
t
≥
0
t\ge0
t
≥
0
. Determine every value of
t
>
0
t>0
t
>
0
at which the particle transitions between speeding up and slowing down.
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