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Mathematics
Problem
The region in the
x
y
xy
x
y
-plane is enclosed by the curves
x
=
y
2
x=y^{2}
x
=
y
2
and
x
=
y
+
2
x=y+2
x
=
y
+
2
together with the horizontal lines
y
=
0
y=0
y
=
0
and
y
=
3
y=3
y
=
3
. Calculate the area of this region. a)
5
5
5
b)
31
6
\dfrac{31}{6}
6
31
c)
35
6
\dfrac{35}{6}
6
35
d)
9
2
\dfrac{9}{2}
2
9
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