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Mathematics
Mathematics
Problem
Given that
f
(
3
)
(
x
)
=
sin
x
f^{(3)}(x)=\sin x
f
(
3
)
(
x
)
=
sin
x
for all real
x
x
x
and that
f
′
′
(
0
)
=
2
f''(0)=2
f
′′
(
0
)
=
2
,
f
′
(
0
)
=
0
f'(0)=0
f
′
(
0
)
=
0
, and
f
(
0
)
=
4
f(0)=4
f
(
0
)
=
4
, determine
f
(
x
)
f(x)
f
(
x
)
.
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