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Putnam
Putnam 1939
A1
Putnam 1939 A1
Putnam 1939 A1
Source:
August 20, 2021
Putnam
Problem Statement
Let
C
C
C
be the curve
y
2
=
x
3
y^2 = x^3
y
2
=
x
3
(where
x
x
x
takes all non-negative real values). Let
O
O
O
be the origin, and
A
A
A
be the point where the gradient is
1.
1.
1.
Find the length of the curve from
O
O
O
to
A
.
A.
A
.
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