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Mathematics
Mathematics
Problem
Consider the curve defined by
x
=
t
2
−
t
−
2
x=t^{2}-t-2
x
=
t
2
−
t
−
2
and
y
=
t
3
−
3
t
y=t^{3}-3t
y
=
t
3
−
3
t
. The curve intersects the
y
y
y
-axis at points where
x
=
0
x=0
x
=
0
. If the parameter value at the *positive* intersection is used, find the slope of the tangent at that point. a)
0
0
0
b)
3
3
3
c)
1
1
1
d)
9
4
\dfrac{9}{4}
4
9
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