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Mathematics
Mathematics
Problem
Graph the curve with the given vector equation. Make sure you choose a parameter domain and viewpoints that reveal the true nature of the curve.
r
(
t
)
=
⟨
cos
t
sin
2
t
,
sin
t
sin
2
t
,
cos
2
t
⟩
\mathbf{r}(t) = \langle \cos t \sin 2t, \sin t \sin 2t, \cos 2t \rangle
r
(
t
)
=
⟨
cos
t
sin
2
t
,
sin
t
sin
2
t
,
cos
2
t
⟩
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