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Mathematics
Problem
Let
f
f
f
be an even function, and let
F
F
F
satisfy
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
with
F
(
0
)
=
3
F(0)=3
F
(
0
)
=
3
. Classify
F
F
F
as even, odd, or neither, and justify your classification in one sentence.
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