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Mathematics
Mathematics
Problem
Consider
F
(
x
)
=
x
2
e
5
x
F(x)=x^{2}e^{5x}
F
(
x
)
=
x
2
e
5
x
. Determine
F
(
n
)
(
x
)
F^{(n)}(x)
F
(
n
)
(
x
)
for an arbitrary positive integer
n
n
n
, writing your answer as a polynomial in
x
x
x
multiplied by
e
5
x
e^{5x}
e
5
x
.
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