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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. Your design team has coded this in-game world to exist on the circle * + v* s 900 on the ry-plane. At any point (z, y) in this world you've also associated a danger function d(a, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(r, y) correspond to dangerous points, while low values of d(r,y) correspond to safe points. If d(z, y) = e*v, 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. Your design team has coded this in-game world to exist on the circle * + v* s 900 on the ry-plane. At any point (z, y) in this world you've also associated a danger function d(a, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(r, y) correspond to dangerous points, while low values of d(r,y) correspond to safe points. If d(z, y) = e*v, find the safest point(s) and most dangerous point(s) in-game.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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. Your design team has coded this in-game world to exist on the circle 1 + y < 900 on the ry-plane. At any point (2, y) in this world you've also associated a danger function d(a, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(r, y) correspond to dangerous points, while low values of d(r, y) correspond to safe points. If d(x, y) = e'v, find the safest point(s) and most dangerous point(s) in-game.
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. Your design team has coded this in-game world to exist on the circle 1 + y < 900 on the ry-plane. At any point (2, y) in this world you've also associated a danger function d(a, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(r, y) correspond to dangerous points, while low values of d(r, 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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