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Mathematics
Problem
A curve is defined parametrically for
−
3
≤
t
≤
3
-3\le t\le 3
−
3
≤
t
≤
3
by
x
=
t
x=t
x
=
t
and
y
=
t
3
−
3
t
y=t^{3}-3t
y
=
t
3
−
3
t
. For which value of
t
t
t
does the curve change concavity? a)
t
=
1
t=1
t
=
1
b)
t
=
3
t=\sqrt{3}
t
=
3
c)
t
=
0
t=0
t
=
0
d) The curve does not change concavity on the given interval.
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