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Mathematics
Mathematics
Problem
Let
x
=
e
2
t
x=e^{2t}
x
=
e
2
t
and
y
=
e
2
t
cos
t
y=e^{2t}\cos t
y
=
e
2
t
cos
t
. Compute
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
and
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
.
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