Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
r
(
t
)
=
⟨
e
2
t
,
e
−
3
t
,
t
⟩
\mathbf{r}(t) = \langle e^{2t}, e^{-3t}, t \rangle
r
(
t
)
=
⟨
e
2
t
,
e
−
3
t
,
t
⟩
, find
r
′
(
0
)
\mathbf{r}'(0)
r
′
(
0
)
,
T
(
0
)
\mathbf{T}(0)
T
(
0
)
,
r
′
′
(
0
)
\mathbf{r}''(0)
r
′′
(
0
)
, and
r
′
(
0
)
×
r
′
′
(
0
)
\mathbf{r}'(0) \times \mathbf{r}''(0)
r
′
(
0
)
×
r
′′
(
0
)
.
Browse the problem library