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Mathematics
Mathematics
Problem
(a) Find the unit tangent and unit normal vectors
T
(
t
)
\mathbf{T}(t)
T
(
t
)
and
N
(
t
)
\mathbf{N}(t)
N
(
t
)
. (b) Use Formula 9 to find the curvature.
r
(
t
)
=
⟨
t
,
t
,
1
2
t
2
⟩
\mathbf{r}(t) = \langle t, t, \frac{1}{2}t^2 \rangle
r
(
t
)
=
⟨
t
,
t
,
2
1
t
2
⟩
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