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: Alan Ho

MY RUID: 191007691


Ans. to 1: 1.618033989


Ans. to 2(a): {0, 1, 2};		Ans. to 2(b): 1 is the only stable equilibrium solution;		Ans to 2(c): 0.9999999999


Ans. to 3(a): {[0.], [0.475304923], [2.524695077]};		Ans. to 3(b):{[0.475304923]};		Ans. to 3(c): 0.4753049232


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


Ans. to 5(a): 0.5000000001;		Ans. to 5(b): 0.3974661806                                 

Ans. to 6: 0.7478789082

Ans. to 7(a): 0 removed individuals in the long term;		Ans. to 7(b): 923.9516702 removed individuals in the long term;	 	Ans. to 7(c): a = 0.1                     


Ans. to 8(a): 0.6823278038;		Ans. to 8(b): there is a horizontal at 1.213411663; 			Ans. to 8(c): can't figure this one out, seems like you're asking for us to find what values of alpha would generate equilibrium points that are not stable. However, after spending a few hours on this question alone, I unfortunately still cannot figure it out. Hopefully, my maple 

Ans. to 9(a): 5.083333333;		Ans. to 9(b): 0.6666666667 

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