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Mathematics
Mathematics
Problem
Suppose a function
p
p
p
satisfies
p
(
4
)
(
x
)
=
24
p^{(4)}(x)=24
p
(
4
)
(
x
)
=
24
for all real
x
x
x
. Given that
p
′
′
′
(
0
)
=
7
p'''(0)=7
p
′′′
(
0
)
=
7
,
p
′
′
(
0
)
=
0
p''(0)=0
p
′′
(
0
)
=
0
,
p
′
(
0
)
=
−
2
p'(0)=-2
p
′
(
0
)
=
−
2
, and
p
(
0
)
=
1
p(0)=1
p
(
0
)
=
1
, find
p
(
x
)
p(x)
p
(
x
)
.
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