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Mathematics
Mathematics
Problem
The average value of a continuous function
f
f
f
on
[
0
,
π
]
[0,\pi]
[
0
,
π
]
is
2
2
2
. For the same interval, what value of the constant
A
A
A
will make the average value of
h
(
x
)
=
A
f
(
x
)
+
3
h(x)=Af(x)+3
h
(
x
)
=
A
f
(
x
)
+
3
equal to
5
5
5
? a)
3
2
\dfrac{3}{2}
2
3
b)
1
π
\dfrac{1}{\pi}
π
1
c)
1
1
1
d)
2
2
2
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