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Mathematics
Mathematics
Problem
For
f
(
x
)
=
tan
−
1
(
x
)
f(x)=\tan^{-1}(x)
f
(
x
)
=
tan
−
1
(
x
)
on the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
, find the value of
c
c
c
in
[
0
,
1
]
[0,1]
[
0
,
1
]
such that
f
(
c
)
f(c)
f
(
c
)
equals the average value of
f
f
f
over the interval. Give your answer to three decimal places.
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