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Mathematics
Mathematics
Problem
Consider the function
p
(
x
)
=
k
x
2
e
x
p(x)=k x^{2}e^{x}
p
(
x
)
=
k
x
2
e
x
on the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
. If the average value of
p
p
p
over
[
0
,
1
]
[0,1]
[
0
,
1
]
is 3, what is the value of
k
k
k
to two decimal places? a) 1.10 b) 7.28 c) 4.18 d) 3.00
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