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Mathematics
Mathematics
Problem
A curve is given by
x
=
t
2
−
4
t
x=t^{2}-4t
x
=
t
2
−
4
t
and
y
=
t
3
−
6
t
2
+
8
t
y=t^{3}-6t^{2}+8t
y
=
t
3
−
6
t
2
+
8
t
. The curve meets the
y
y
y
-axis at two points. What is the product of the slopes of the tangents at these points? a)
0
0
0
b)
4
4
4
c)
−
4
-4
−
4
d)
−
2
-2
−
2
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