Answers to the Math 336 Final

Rename this file

FirstLastFinal.txt

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


Ans. to 1: 1.618033988

Ans. to 2(a): {0,1,2}     ;  Ans. to 2(b): 1 ; Ans to 2(c): 1.0000000000000000000000000


Ans. to 3(a):  {0,  3/2-sqrt{105)/10; 3/2+sqrt{105)/10}.

Ans. to 3(b):  3/2-sqrt{105)/10= 0.475304923 .

Ans. to 3(c):  0.475304923 .

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

Ans. to 5(a):  1/2;                     Ans. to 4(b):  0.3974661814

Ans. to 6: 0.7478789080 .

Ans. to 7(a):  0;  Ans. to 7(b): $923.9516702$ Ans. to 7(c): 0.1.

Ans. to 8(a):  0.6823278038 ; Ans. to 8(b):  1.213411663 ; Ans. to 8(c):  7.39

Ans. to 9(a):  61/21=5.083333333 ; Ans. to 9(b):  2/3=0.6666666667

Ans. to 10(a):  0.07692307655;   Ans. to 10(b): 0.1538461530