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: Julian Jimenez


MY RUID: 187009906




Ans. to 1: 1.618033989


Ans. to 2(a):  x=0, x=1, x=2  
Ans. to 2(b):  no stable equilibrium points
Ans to 2(c): x(100)= 0.4753049232




Ans. to 3(a): x=0, x=(15+sqrt(105)/10)),x= (15-sqrt(105)/10))
Ans. to 3(b):f((15+sqrt(105)/10)))= 0.422, f((15-sqrt(105)/10)))= 0.475
Ans. to 3(c):  x(100)= 0.4753049232


Ans. to 4(a):(½ ,¼, ½)
 Ans. to 4(b):  (½ ,¼, ½)                                  




Ans. to 5(a): [[0.2647058824, 0.5000000000, 0.2352941177]]
Ans. to 5(b):     [[0.3757562480, 0.4935706703, 0.1306730817]]                   


Ans. to 6: it will approach 0.7478789080


Ans. to 7(a): 0
Ans. to 7(b): 299
Ans. to 7(c): 1                




Ans. to 8(a): 0.6823278038
Ans. to 8(b): 1.213411663
Ans. to 8(c): 7.4


Ans. to 9(a): 5.083019282 
Ans. to 9(b): 0.6667361650


Ans. to 10(a): about 0.077 
Ans. to 10(b): about 0.154