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Mathematics
Mathematics
Problem
Find the unit tangent vector
T
(
t
)
\mathbf{T}(t)
T
(
t
)
at the point with the given value of the parameter
t
t
t
.
r
(
t
)
=
⟨
tan
−
1
t
,
2
e
2
t
,
8
t
e
t
⟩
,
t
=
0
\mathbf{r}(t) = \langle \tan^{-1} t, 2e^{2t}, 8te^t \rangle, t = 0
r
(
t
)
=
⟨
tan
−
1
t
,
2
e
2
t
,
8
t
e
t
⟩
,
t
=
0
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