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Mathematics
Mathematics
Problem
For the parametric curve
x
=
e
2
t
x=e^{2t}
x
=
e
2
t
and
y
=
t
e
2
t
y=t\,e^{2t}
y
=
t
e
2
t
, calculate
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
t
=
0
t=0
t
=
0
. a)
1
1
1
b)
1
2
\dfrac{1}{2}
2
1
c)
1
4
\dfrac{1}{4}
4
1
d)
2
2
2
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