Answers to the Math 336 Final

Rename this file

FirstLastFinal.txt

and mail to ShaloshBEkhad@gmail.com no later than Tue., Dec. 14, 2021.


MY NAME: Mudassir Lodi

MY RUID: 211004812


Ans. to 1: 1.61803398875

Ans. to 2(a): {0,1,2}                   
Ans. to 2(b): {1}                          
Ans to 2(c): 1 

Ans. to 3(a): {[0], [3/2 - sqrt(105)/10], [3/2 + sqrt(105)/10]}       
Ans. to 3(b): {0.4753049235}
Ans. to 3(c): 0.4753049235 

Ans. to 4(a): 0.5                
Ans. to 4(b): 0.5                                   


Ans. to 5(a): 0.5                  
Ans. to 5(b): 0.3974661806                                   

Ans. to 6: 0.7478789080 (it is a stable equilibrium solution of the system)

Ans. to 7(a): 0 removed individuals                   
Ans. to 7(b): ~923 removed individuals (923.951670219)               
Ans. to 7(c): beta is 0.1 (cutoff for when there is a non-zero number of infected people)                    

Ans. to 8(a): 0.6823278038                   
Ans. to 8(b): There is a horizontal asymptote at 1.213411663    
Ans. to 8(c): a = 7.393. At a + 0.001 (7.394), there is no longer a stable equilibrium. 

Ans. to 9(a): 5.0833333333                  
Ans. to 9(b): 0.6666666667

Ans. to 10(a): 7.69 % chance to be on website 1             
Ans. to 10(b): 15.385 % chance to be on website 9