You are designing an RPG (role-playing game) for a gaming console and have decided to use an open world design, where players can explore the terrain freely, encountering enemies by chance. 8. Your design team has coded this in-game world to exist on the circle x² + y? < 900 Page 3 on the ry-plane. At any point (x, y) in this world you've also associated a danger function d(x, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(x,y) correspond to dangerous points, while low values of d(x, y) correspond to safe points. If d(x, y) = e-t*y, find the safest point(s) and most dangerous point(s) in-game.
You are designing an RPG (role-playing game) for a gaming console and have decided to use an open world design, where players can explore the terrain freely, encountering enemies by chance. 8. Your design team has coded this in-game world to exist on the circle x² + y? < 900 Page 3 on the ry-plane. At any point (x, y) in this world you've also associated a danger function d(x, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(x,y) correspond to dangerous points, while low values of d(x, y) correspond to safe points. If d(x, y) = e-t*y, find the safest point(s) and most dangerous point(s) in-game.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:You are designing an RPG (role-playing game) for a gaming console and have decided to
use an open world design, where players can explore the terrain freely, encountering enemies by chance.
8.
Your design team has coded this in-game world to exist on the circle
x² + y? < 900
Page 3
on the ry-plane. At any point (x, y) in this world you've also associated a danger function d(x, y) that
measures how likely it is to encounter an enemy at that point. Thus high values of d(x,y) correspond
to dangerous points, while low values of d(x, y) correspond to safe points. If
d(x, y) = e-=*v,
find the safest point(s) and most dangerous point(s) in-game.
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