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Mathematics
Mathematics
Problem
Find the length of the curve.
r
(
t
)
=
⟨
2
t
,
t
2
,
1
3
t
3
⟩
,
0
≤
t
≤
1
\mathbf{r}(t) = \langle 2t, t^2, \frac{1}{3}t^3 \rangle, \quad 0 \le t \le 1
r
(
t
)
=
⟨
2
t
,
t
2
,
3
1
t
3
⟩
,
0
≤
t
≤
1
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