Question

Find the maximum and the minimum values of ​f(x,y,z)equals 3 x minus 3 y plus 8 z on the sphere x squared plus y squared plus z squared equals 82 .

Answer 1

The maximum point is

(3/4, 3/4, 8) = 4

The minimum point is

(-3/4, -3/4, -8) = -4

Explanation:

See attachment for derivation