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Mathematics
Problem
Let
S
S
S
be the set of all points satisfying
−
3
≤
y
≤
3
-3 \le y \le 3
−
3
≤
y
≤
3
and
y
2
≤
x
≤
8
−
y
2
y^{2} \le x \le 8 - y^{2}
y
2
≤
x
≤
8
−
y
2
, except those with
∣
y
∣
<
1
|y| < 1
∣
y
∣
<
1
. Determine the exact area of
S
S
S
.
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