MathDB
2014 General #24

Source:

July 5, 2022
2014General Test

Problem Statement

It's pouring down rain, and the amount of rain hitting point (x,y)(x,y) is given by f(x,y)=∣x3+2x2y−5xy2−6y3∣.f(x,y)=|x^3+2x^2y-5xy^2-6y^3|. If you start at the origin (0,0)(0,0), find all the possibilities for mm such that y=mxy=mx is a straight line along which you could walk without any rain falling on you.
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