Recent content by terminal.velo

2x(1/4 - λ) = 0 2y(1/9 - λ) = 0 2z(1 - λ) = 0 EDIT: I'm in a bit of a funk, apologies! (lectures from 8am 'til 3pm)

All 3 derivates of L (Lx, Ly, Lz) have to equal zero, to find the λ, then the x/y/z for critical points of f(x,y,z) Lx = 2/4*x - λ*x*2 = 0 Ly = 2/9*y - λ*2*y = 0 Lz = 2*z - λ*2*z = 0

I don't know, the lecturer told us to solve the rest of the problem at home.

Homework Statement Find max/min of f subject to constraint: x^2+y^2+z^1 = 1 Homework Equations f(x,y,z) = 1/4*x^2 + 1/9*y^2 + z^2 g(x,y,z) = x^2 + y^2 + z^2 - 1 The Attempt at a Solution L = 1/4*x^2 + 1/9*y^2 + z^2 - λ(x^2 + y^2 + z^2 - 1) Lx = 2/4*x - λ*x*2 Ly = 2/9*y -...