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Mathematics
Mathematics
Problem
For the parametric equations
x
=
t
3
−
3
t
x=t^{3}-3t
x
=
t
3
−
3
t
and
y
=
t
2
y=t^{2}
y
=
t
2
, the
x
x
x
-coordinate(s) of the point(s) where the tangent is vertical is/are a)
x
=
0
x=0
x
=
0
b)
x
=
−
2
x=-2
x
=
−
2
only c)
x
=
−
2
and
x
=
2
x=-2 \text{ and } x=2
x
=
−
2
and
x
=
2
d)
x
=
−
2
and
x
=
−
4
x=-2 \text{ and } x=-4
x
=
−
2
and
x
=
−
4
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