Question

Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint.
f(x,y,z) = x^4 + y^4 + z^4 ; x^2 + y^2 + z^2 = 1

Answer 1

x^2 + y^2 + x^2 are you sure it's not supposed to be a z^2?

Answer 2

oops yeah lol

Answer 3

shh I'm tired

Answer 4

how do you do a lagrange multiplier? can you show me real quick please?

Answer 5

lol nope thus why I'm on here, its a lot of partial derivatives

Answer 6

x2+y2+z2=1 is the constraint right?

Answer 7

yes

Answer 8

what values did you get for lambda? i got 2,1,2/3