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MAA AMC
AMC 10
2016 AMC 10
2
A Loving Function
A Loving Function
Source: Problem #2 2016 AMC 10B
February 21, 2016
AMC10
function
AMC
AMC 10
AMC 10 B
Problem Statement
If
n
♡
m
=
n
3
m
2
n\heartsuit m=n^3m^2
n
♡
m
=
n
3
m
2
, what is
2
♡
4
4
♡
2
\frac{2\heartsuit 4}{4\heartsuit 2}
4♡2
2♡4
?
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(
A
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1
4
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(
B
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2
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(
C
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1
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(
D
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2
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(
E
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4
<span class='latex-bold'>(A)</span>\ \frac{1}{4}\qquad<span class='latex-bold'>(B)</span>\ \frac{1}{2}\qquad<span class='latex-bold'>(C)</span>\ 1\qquad<span class='latex-bold'>(D)</span>\ 2\qquad<span class='latex-bold'>(E)</span>\ 4
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4
1
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2
1
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C
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1
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D
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2
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>
(
E
)
<
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>
4
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