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Mathematics
Mathematics
Problem
Find the unit tangent vector
T
(
t
)
\mathbf{T}(t)
T
(
t
)
at the given point on the curve.
r
(
t
)
=
⟨
t
3
+
1
,
3
t
−
5
,
4
/
t
⟩
,
(
2
,
−
2
,
4
)
\mathbf{r}(t) = \langle t^3 + 1, 3t - 5, 4/t \rangle, (2, -2, 4)
r
(
t
)
=
⟨
t
3
+
1
,
3
t
−
5
,
4/
t
⟩
,
(
2
,
−
2
,
4
)
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