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Mathematics
Problem
For the function
p
(
x
)
=
e
x
p(x)=e^{x}
p
(
x
)
=
e
x
, let
p
ˉ
1
\bar p_1
p
ˉ
1
be its average value on
[
0
,
ln
2
]
[0,\ln 2]
[
0
,
ln
2
]
and
p
ˉ
2
\bar p_2
p
ˉ
2
be its average value on
[
ln
2
,
ln
4
]
[\ln 2,\ln 4]
[
ln
2
,
ln
4
]
. By approximately how much (to the nearest whole percent) does
p
ˉ
2
\bar p_2
p
ˉ
2
exceed
p
ˉ
1
\bar p_1
p
ˉ
1
? a)
50
%
50\%
50%
b)
100
%
100\%
100%
c)
0
%
0\%
0%
d)
200
%
200\%
200%
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