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Imagine you're developing a video game where players gather coins in each level. Players begin the game with 0 coins and in each level 1 = 1,2,3,..., they will collect 10 x 1 coins. However, each time a player's character gets hit by an enemy, they lose 3 coins. The first level is introductory and has no enemies, but starting from 1 = 2, the complexity of the levels grows such that a player with a skill level s, where s = 1,2,3,4,..., will get hit 1 x s times in the 7th level. (a) Which value of s corresponds to the most highly skilled player? (b) Let c be the total number of coins the player has accumulated immediately after completing level 1. Assuming the player has skill level s= 2, find the values c₁, and c₂, and then find a recursive definition for q. (c) Still assuming the player has skill level s = 2, write a MATLAB program to compute c₂ for 1 = 1,...10 and display the values in two columns, one for I and one for q.

Imagine you're developing a video game where players gather coins in each level. Players begin the game with 0 coins and in each level 1 = 1,2,3,..., they will collect 10 x 1 coins. However, each time a player's character gets hit by an enemy, they lose 3 coins. The first level is introductory and has no enemies, but starting from 1 = 2, the complexity of the levels grows such that a player with a skill level s, where s = 1,2,3,4,..., will get hit 1 x s times in the 7th level. (a) Which value of s corresponds to the most highly skilled player? (b) Let c be the total number of coins the player has accumulated immediately after completing level 1. Assuming the player has skill level s= 2, find the values c₁, and c₂, and then find a recursive definition for q. (c) Still assuming the player has skill level s = 2, write a MATLAB program to compute c₂ for 1 = 1,...10 and display the values in two columns, one for I and one for q.

Advanced Engineering Mathematics
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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Imagine you're developing a video game where players gather coins in each level. Players begin the game with 0 coins and in each level 1 = 1,2,3,..., they will collect 10 x 1 coins. However, each time a player's character gets hit by an enemy, they lose 3 coins. The first level is introductory and has no enemies, but starting from 1 = 2, the complexity of the levels grows such that a player with a skill level s, where s = 1, 2, 3, 4, ..., will get hit 1 x s times in the 7th level. (a) Which value of s corresponds to the most highly skilled player? (b) Let c be the total number of coins the player has accumulated immediately after completing level 1. Assuming the player has skill levels = 2, find the values c₁, and c₂, and then find a recursive definition for q. (c) Still assuming the yer has skill levels = 2, write a MATLAB program to compute c₂ for 1 = 1,... 10 and display the values in two columns, one for I and one for q.
Transcribed Image Text:Imagine you're developing a video game where players gather coins in each level. Players begin the game with 0 coins and in each level 1 = 1,2,3,..., they will collect 10 x 1 coins. However, each time a player's character gets hit by an enemy, they lose 3 coins. The first level is introductory and has no enemies, but starting from 1 = 2, the complexity of the levels grows such that a player with a skill level s, where s = 1, 2, 3, 4, ..., will get hit 1 x s times in the 7th level. (a) Which value of s corresponds to the most highly skilled player? (b) Let c be the total number of coins the player has accumulated immediately after completing level 1. Assuming the player has skill levels = 2, find the values c₁, and c₂, and then find a recursive definition for q. (c) Still assuming the yer has skill levels = 2, write a MATLAB program to compute c₂ for 1 = 1,... 10 and display the values in two columns, one for I and one for q.
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