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Mathematics
Mathematics
Problem
For the parametric equations
x
=
e
−
t
x=e^{-t}
x
=
e
−
t
and
y
=
t
2
ln
t
y=t^{2}\ln t
y
=
t
2
ln
t
(
t
>
0
t>0
t
>
0
), determine the value of
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
t
=
1
t=1
t
=
1
.
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