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: Anusha Nagar

MY RUID: 185007365


Ans. to 1: 1.618033989

Ans. to 2(a): {[0], [1], [2]}   ; 
Ans. to 2(b): {[1.]}            ; 
Ans to 2(c): Approaches 1, but actual value at t=100 is 0.9999999996);


Ans. to 3(a): {[0.], [0.4753049234], [2.524695077]}; 
Ans. to 3(b): {[0.4753049234]};
Ans. to 3(c):  [0.4753049232];

Ans. to 4(a): 1/2           ; 
Ans. to 4(b): 1/2           ;                                    


Ans. to 5(a): 0.5000000000  ;
Ans. to 5(b): 0.3974661814  ;                   

Ans. to 6: 0.7478789082     ;

Ans. to 7(a): 5.0402601     ; 
Ans. to 7(b): 0 (actual numeric answer was Float(-infinity), which we take to be an extremely small number); 
Ans. to 7(c): 0.135         ;                    


Ans. to 8(a):  0.6823278038 ; 
Ans. to 8(b):  1.213411663  ; 
Ans. to 8(c): 7.39 is the alpha such that there is still a stable equilibrium. Once we get to alpha = 7.40, we no longer have a stable equilibrium

Ans. to 9(a): 5.082813723   ; 
Ans. to 9(b): 5.082813723   ;

Ans. to 10(a): 0.0769230769230801     ; 
Ans. to 10(b): 0.153846153846160      ;