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Mathematics
Mathematics
Problem
Find the length of the curve.
r
(
t
)
=
t
2
i
+
9
t
j
+
4
t
3
/
2
k
,
1
≤
t
≤
4
\mathbf{r}(t) = t^2\mathbf{i} + 9t\mathbf{j} + 4t^{3/2}\mathbf{k}, \quad 1 \le t \le 4
r
(
t
)
=
t
2
i
+
9
t
j
+
4
t
3/2
k
,
1
≤
t
≤
4
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