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Mathematics
Mathematics
Problem
The function
h
(
t
)
=
t
e
2
t
h(t)=t e^{2t}
h
(
t
)
=
t
e
2
t
models the position (in meters) of a particle moving along a line at time
t
t
t
seconds. Determine the equation of the tangent line to the graph of
h
h
h
at
t
=
0
t=0
t
=
0
. a)
y
=
0
y=0
y
=
0
b)
y
=
t
y=t
y
=
t
c)
y
=
2
t
y=2t
y
=
2
t
d)
y
=
t
+
1
y=t+1
y
=
t
+
1
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