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Mathematics
Mathematics
Problem
The height (in meters) of a drone
t
t
t
seconds after launch is modeled by
H
(
t
)
=
−
t
3
+
3
t
2
+
12
H(t)=-t^{3}+3t^{2}+12
H
(
t
)
=
−
t
3
+
3
t
2
+
12
for
0
≤
t
≤
4
0\le t\le 4
0
≤
t
≤
4
. At what time does the drone reach its greatest height during this interval? a)
t
=
1
s
t=1\text{ s}
t
=
1
s
b)
t
=
4
s
t=4\text{ s}
t
=
4
s
c)
t
=
2
s
t=2\text{ s}
t
=
2
s
d)
t
=
0
s
t=0\text{ s}
t
=
0
s
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