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Mathematics
Mathematics
Problem
Find the length of the curve correct to four decimal places.
r
(
t
)
=
⟨
t
,
e
−
t
,
t
e
−
t
⟩
,
1
≤
t
≤
3
\mathbf{r}(t) = \langle t, e^{-t}, te^{-t} \rangle, \quad 1 \le t \le 3
r
(
t
)
=
⟨
t
,
e
−
t
,
t
e
−
t
⟩
,
1
≤
t
≤
3
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