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7
7
Part of
2008 Princeton University Math Competition
Problems
(1)
2008 PUMaC Team B7
Source:
10/4/2019
The graphs of the following equations divide the
x
y
xy
x
y
plane into some number of regions.
4
+
(
x
+
2
)
y
=
x
2
4 + (x + 2)y =x^2
4
+
(
x
+
2
)
y
=
x
2
(
x
+
2
)
2
+
y
2
=
16
(x + 2)^2 + y^2 =16
(
x
+
2
)
2
+
y
2
=
16
Find the area of the second smallest region.
algebra