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Mathematics
Mathematics
Problem
For
0
≤
x
≤
5
0\le x\le5
0
≤
x
≤
5
, let
f
(
x
)
=
3
−
x
f(x)=3-x
f
(
x
)
=
3
−
x
and let
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
F(x)=\int_{0}^{x} f(t)\,dt
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
. On what open interval(s) within
0
<
x
<
5
0<x<5
0
<
x
<
5
is
F
F
F
decreasing?
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