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Mathematics
Mathematics
Problem
For a function
F
(
x
)
F(x)
F
(
x
)
it is known that
F
′
(
x
)
=
2
x
+
3
F'(x)=2x+3
F
′
(
x
)
=
2
x
+
3
and that
F
(
1
)
=
4
F(1)=4
F
(
1
)
=
4
. a. (i) Obtain the explicit expression for
F
(
x
)
F(x)
F
(
x
)
. b. (ii) Hence calculate the value of
F
(
2
)
F(2)
F
(
2
)
.
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