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2020 CMIMC Team
12
2020 Team 12
2020 Team 12
Source:
February 2, 2020
team
2020
Problem Statement
Determine the maximum possible value of
x
(
2
x
+
1
−
x
)
(
3
x
+
4
1
−
x
)
\sqrt{x}(2\sqrt{x}+\sqrt{1-x})(3\sqrt{x}+4\sqrt{1-x})
x
(
2
x
+
1
−
x
)
(
3
x
+
4
1
−
x
)
over all
x
∈
[
0
,
1
]
x\in [0,1]
x
∈
[
0
,
1
]
.
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