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Mathematics
Mathematics
Problem
Consider the curve
x
=
t
2
,
y
=
t
3
−
3
t
x=t^{2},\;y=t^{3}-3t
x
=
t
2
,
y
=
t
3
−
3
t
. Find the value of
t
=
k
t=k
t
=
k
such that the tangent line at
t
=
k
t=k
t
=
k
is perpendicular to the tangent line at
t
=
1
t=1
t
=
1
.
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