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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
3
x
2
f(x)=3x^{2}
f
(
x
)
=
3
x
2
for all real
x
x
x
. A function
F
F
F
satisfies
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
and
F
(
1
)
=
4
F(1)=4
F
(
1
)
=
4
. Determine the value of
F
(
3
)
F(3)
F
(
3
)
.
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