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Mathematics
Mathematics
Problem
Region
S
S
S
is bounded above and below as follows: • For
0
≤
x
≤
2
0\le x\le2
0
≤
x
≤
2
, the upper boundary is
y
=
6
−
x
y=6-x
y
=
6
−
x
and the lower boundary is
y
=
x
y=x
y
=
x
. • For
2
≤
x
≤
4
2\le x\le4
2
≤
x
≤
4
, the upper boundary is
y
=
4
y=4
y
=
4
and the lower boundary is
y
=
x
y=x
y
=
x
. Calculate the area of
S
S
S
.
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