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Mathematics
Mathematics
Problem
The curve is defined parametrically by
x
=
t
x=t
x
=
t
and
y
=
t
3
−
3
t
y=t^{3}-3t
y
=
t
3
−
3
t
for all real
t
t
t
. At which point does the curve have a point of inflection? a)
(
1
,
−
2
)
(1,-2)
(
1
,
−
2
)
b)
(
0
,
0
)
(0,0)
(
0
,
0
)
c)
(
−
1
,
2
)
(-1,2)
(
−
1
,
2
)
d)
(
3
,
0
)
(\sqrt{3},0)
(
3
,
0
)
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