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Mathematics
Mathematics
Problem
For a real constant
k
k
k
, let
F
(
x
)
=
∫
(
3
x
2
+
k
)
d
x
F(x)=\int (3x^{2}+k)\,dx
F
(
x
)
=
∫
(
3
x
2
+
k
)
d
x
. Given that
F
(
0
)
=
4
F(0)=4
F
(
0
)
=
4
and
F
(
1
)
=
10
F(1)=10
F
(
1
)
=
10
, find the value of
k
k
k
. a)
4
4
4
b)
5
5
5
c)
9
9
9
d)
3
3
3
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