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Mathematics
Mathematics
Problem
Determine
r
′
(
0
)
\mathbf{r}'(0)
r
′
(
0
)
for
r
(
t
)
=
⟨
e
3
t
,
ln
(
t
2
+
1
)
,
4
⟩
\mathbf{r}(t)=\langle e^{3t},\ln(t^{2}+1),4\rangle
r
(
t
)
=
⟨
e
3
t
,
ln
(
t
2
+
1
)
,
4
⟩
. a)
⟨
3
,
1
,
0
⟩
\langle 3,1,0\rangle
⟨
3
,
1
,
0
⟩
b)
⟨
1
,
0
,
0
⟩
\langle 1,0,0\rangle
⟨
1
,
0
,
0
⟩
c)
⟨
3
,
0
,
0
⟩
\langle 3,0,0\rangle
⟨
3
,
0
,
0
⟩
d)
⟨
3
,
0
,
4
⟩
\langle 3,0,4\rangle
⟨
3
,
0
,
4
⟩
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