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2014 ASDAN Math Tournament
24
24
Part of
2014 ASDAN Math Tournament
Problems
(1)
2014 General #24
Source:
7/5/2022
It's pouring down rain, and the amount of rain hitting point
(
x
,
y
)
(x,y)
(
x
,
y
)
is given by
f
(
x
,
y
)
=
∣
x
3
+
2
x
2
y
−
5
x
y
2
−
6
y
3
∣
.
f(x,y)=|x^3+2x^2y-5xy^2-6y^3|.
f
(
x
,
y
)
=
∣
x
3
+
2
x
2
y
−
5
x
y
2
−
6
y
3
∣.
If you start at the origin
(
0
,
0
)
(0,0)
(
0
,
0
)
, find all the possibilities for
m
m
m
such that
y
=
m
x
y=mx
y
=
m
x
is a straight line along which you could walk without any rain falling on you.
2014
General Test