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: Max Mekhanikov

MY RUID: 184004391


Ans. to 1: 1.618033989

Ans. to 2(a): x=0, x=1, x=2     ;  Ans. to 2(b): x=1 is stable           ; Ans to 2(c): 0.4753049232


Ans. to 3(a): x=0, x=3/2 +/- sqrt(105)/10       ; Ans. to 3(b): x = 3/2 - sqrt(105)/10 is stable     : Ans. to 3(c):  0.4753049232

Ans. to 4(a&b):  In both the 2nd and 1000th generations, 1/2 of the population has a genotype of Aa.               

Ans. to 5(a&b): In the second generation, the probability of genotype Aa is 0.5 while in generation 1000 it decreases to 0.3974661806.
                                  

Ans. to 6: Roughly 0.7465000000

Ans. to 7(a): 995 Removed Individuals    ; Ans. to 7(b): 916 Removed Individuals     ;  Ans. to 7(c): Beta > 1/10                 


Ans. to 8(a): 0.6823278038      ; Ans. to 8(b):   1.213411663              ; Ans. to 8(c): a = 7.3

Ans. to 9(a): Explodes to infinity  ; Ans. to 9(b): Explodes at the same time to negative infinity

Ans. to 10(a):  0.0769230769230791    ; Ans. to 10(b): 0.153846153846158