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Putnam
1948 Putnam
B5
Putnam 1948 B5
Putnam 1948 B5
Source: Putnam 1948
March 15, 2022
Putnam
geometry
area
Problem Statement
The pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
such that
∣
a
+
b
t
+
t
2
∣
≤
1
|a+bt+ t^2 |\leq 1
∣
a
+
b
t
+
t
2
∣
≤
1
for
0
≤
t
≤
1
0\leq t \leq 1
0
≤
t
≤
1
fill a certain region in the plane. What is the area of this region?
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