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Mathematics
Mathematics
Problem
Find
r
(
t
)
\mathbf{r}(t)
r
(
t
)
if
r
′
(
t
)
=
t
i
+
e
t
j
+
t
e
t
k
\mathbf{r}'(t) = t \mathbf{i} + e^t \mathbf{j} + te^t \mathbf{k}
r
′
(
t
)
=
t
i
+
e
t
j
+
t
e
t
k
and
r
(
0
)
=
i
+
j
+
k
\mathbf{r}(0) = \mathbf{i} + \mathbf{j} + \mathbf{k}
r
(
0
)
=
i
+
j
+
k
.
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