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Mathematics
Problem
The curve
x
=
t
2
,
y
=
t
3
+
a
t
x=t^{2},\;y=t^{3}+at
x
=
t
2
,
y
=
t
3
+
a
t
depends on the real parameter
a
a
a
. A horizontal tangent occurs at some non-zero value of
t
t
t
if and only if a)
a
=
0
a=0
a
=
0
b)
a
>
0
a>0
a
>
0
c)
a
<
0
a<0
a
<
0
d)
a
a
a
can be any real number
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