Key to the Practice Final

Problem 1

(1,2) saddle, (-1,2) max, (1,-2) min, (-1,-2)  saddle

Problem 2

20 coyotes

Problem 3

1/2(e^x - e^x cosx) + c

Problem 4

1/10 ln33

Problem 5

A. converges by P-series

B.  converges by ratio test

Problem 6

Problem 7  

f_x = 1 + y/sin(y²z)

f_y =   (xsin(y²z) - 2xy²zcos(y²z))/sin²(y²z)

f_z = xy³csc(y²z)cot(y²z)