Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
r
(
t
)
=
⟨
t
2
,
t
,
1
⟩
\mathbf r(t)=\langle t^{2},t,1\rangle
r
(
t
)
=
⟨
t
2
,
t
,
1
⟩
and
s
(
t
)
=
⟨
sin
t
,
cos
t
,
t
⟩
\mathbf s(t)=\langle\sin t,\cos t,t\rangle
s
(
t
)
=
⟨
sin
t
,
cos
t
,
t
⟩
. Determine
d
d
t
(
r
(
t
)
⋅
s
(
t
)
)
\displaystyle \frac{d}{dt}\big(\mathbf r(t)\cdot\mathbf s(t)\big)
d
t
d
(
r
(
t
)
⋅
s
(
t
)
)
at
t
=
0
t=0
t
=
0
. a)
0
0
0
b)
2
2
2
c)
3
3
3
d)
1
1
1
Browse the problem library