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Mathematics
Mathematics
Problem
For the curve defined by
x
=
3
t
2
+
1
x=3t^{2}+1
x
=
3
t
2
+
1
and
y
=
2
t
3
+
5
y=2t^{3}+5
y
=
2
t
3
+
5
, find all real values of
t
t
t
at which the slope of the tangent is
12
12
12
.
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