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Mathematics
Problem
The curve
x
=
e
t
x=e^{t}
x
=
e
t
,
y
=
t
e
t
y=te^{t}
y
=
t
e
t
passes through the point
(
e
,
e
)
(e,e)
(
e
,
e
)
. Decide whether the curve is concave up or concave down at that point and support your answer with a brief justification.
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