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Mathematics
Mathematics
Problem
If
r
(
t
)
=
⟨
t
4
,
t
,
t
2
⟩
\mathbf{r}(t) = \langle t^4, t, t^2 \rangle
r
(
t
)
=
⟨
t
4
,
t
,
t
2
⟩
, find
r
′
(
t
)
\mathbf{r}'(t)
r
′
(
t
)
,
T
(
1
)
\mathbf{T}(1)
T
(
1
)
,
r
′
′
(
t
)
\mathbf{r}''(t)
r
′′
(
t
)
, and
r
′
(
t
)
×
r
′
′
(
t
)
\mathbf{r}'(t) \times \mathbf{r}''(t)
r
′
(
t
)
×
r
′′
(
t
)
.
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