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Mathematics
Mathematics
Problem
Calculate
r
′
(
t
)
\mathbf{r}'(t)
r
′
(
t
)
for
r
(
t
)
=
⟨
t
2
,
sin
t
⟩
\mathbf{r}(t)=\langle t^{2},\sin t\rangle
r
(
t
)
=
⟨
t
2
,
sin
t
⟩
. a)
⟨
2
t
,
sin
t
⟩
\langle 2t,\sin t\rangle
⟨
2
t
,
sin
t
⟩
b)
⟨
2
t
,
cos
t
⟩
\langle 2t,\cos t\rangle
⟨
2
t
,
cos
t
⟩
c)
⟨
t
2
,
cos
t
⟩
\langle t^{2},\cos t\rangle
⟨
t
2
,
cos
t
⟩
d)
⟨
t
,
cos
t
⟩
\langle t,\cos t\rangle
⟨
t
,
cos
t
⟩
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