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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
(
8
cos
t
)
sin
t
,
sin
(
8
cos
t
)
sin
t
,
cos
t
⟩
\mathbf{r}(t) = \langle \cos(8 \cos t) \sin t, \sin(8 \cos t) \sin t, \cos t \rangle
r
(
t
)
=
⟨
cos
(
8
cos
t
)
sin
t
,
sin
(
8
cos
t
)
sin
t
,
cos
t
⟩
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