Find the maximum and minimum values of the function f(x, y,z)=x2y2z2 subject to the constraint x2+y2+z2=225. Maximum value is , occuring at points (positive integer or "infinitely many"). Minimum value is , occuring at points (positive integer or "infinitely many").

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

x=6 and x=3

beep beep imma sheep

b

step-by-step explanation: