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Mathematics
Mathematics
Problem
For the curve defined parametrically by
x
=
3
t
+
2
,
y
=
t
2
−
5
t
x=3t+2,\; y=t^{2}-5t
x
=
3
t
+
2
,
y
=
t
2
−
5
t
, find the value of
t
t
t
at which the tangent has slope
1
2
\dfrac12
2
1
. Hence write the coordinates of the corresponding point on the curve.
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