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Mathematics
Mathematics
Problem
For
a
>
0
a>0
a
>
0
, the function
r
(
x
)
=
e
a
x
+
a
r(x)=e^{ax}+a
r
(
x
)
=
e
a
x
+
a
is defined on
[
0
,
1
]
[0,1]
[
0
,
1
]
. If the average value of
r
r
r
over this interval equals
5
5
5
, solve for
a
a
a
correct to three decimal places.
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