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Mathematics
Problem
Consider the curve defined for
−
2
≤
t
≤
2
-2\le t\le 2
−
2
≤
t
≤
2
by
x
(
t
)
=
t
x(t)=t
x
(
t
)
=
t
and
y
(
t
)
=
t
3
−
3
t
y(t)=t^{3}-3t
y
(
t
)
=
t
3
−
3
t
. Determine the coordinates of the curve’s inflection point. a)
(
1
,
−
2
)
(1,-2)
(
1
,
−
2
)
b)
(
0
,
0
)
(0,0)
(
0
,
0
)
c) The curve has no inflection point on the given interval. d)
(
−
1
,
2
)
(-1,2)
(
−
1
,
2
)
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