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Mathematics
Problem
Consider the curve given by
x
3
+
y
3
−
9
x
y
=
0
x^{3}+y^{3}-9xy=0
x
3
+
y
3
−
9
x
y
=
0
. How many distinct points on this curve lying in the first quadrant have a vertical tangent line? a)
0
0
0
b)
3
3
3
c)
1
1
1
d)
2
2
2
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