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Putnam
1986 Putnam
A1
Putnam 1986 A1
Putnam 1986 A1
Source:
August 5, 2019
Putnam
Problem Statement
Find, with explanation, the maximum value of
f
(
x
)
=
x
3
−
3
x
f(x)=x^3-3x
f
(
x
)
=
x
3
−
3
x
on the set of all real numbers
x
x
x
satisfying
x
4
+
36
≤
13
x
2
x^4+36\leq 13x^2
x
4
+
36
≤
13
x
2
.
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