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Mathematics
Mathematics
Problem
Consider the function
h
(
x
)
=
x
e
−
x
h(x)=x e^{-x}
h
(
x
)
=
x
e
−
x
defined for all real
x
x
x
. Which ordered pair gives the
x
x
x
- and
y
y
y
-coordinates of the relative maximum of
h
h
h
? a)
(
1
,
−
e
−
1
)
(1,-e^{-1})
(
1
,
−
e
−
1
)
b)
(
0
,
0
)
(0,0)
(
0
,
0
)
c)
(
1
,
e
−
1
)
(1,e^{-1})
(
1
,
e
−
1
)
d)
(
−
1
,
−
e
)
(-1,-e)
(
−
1
,
−
e
)
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