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Mathematics
Mathematics
Problem
Find
r
(
t
)
\mathbf{r}(t)
r
(
t
)
if
r
′
(
t
)
=
2
t
i
+
3
t
2
j
+
t
k
\mathbf{r}'(t) = 2t \mathbf{i} + 3t^2 \mathbf{j} + \sqrt{t} \mathbf{k}
r
′
(
t
)
=
2
t
i
+
3
t
2
j
+
t
k
and
r
(
1
)
=
i
+
j
\mathbf{r}(1) = \mathbf{i} + \mathbf{j}
r
(
1
)
=
i
+
j
.
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