MathDB

You are standing in an infinitely long hallway with sides given by the lines

x=0

and

x=6

. You start at

(3,0)

and want to get to

(3,6)

. Furthermore, at each instant you want your distance to

(3,6)

to either decrease or stay the same. What is the area of the set of points that you could pass through on your journey from

(3,0)

(3,6)

Problem Statement