1. The problem statement, all variables and given/known data Find any maxima/minima on f(x,y) = x2+2y2 on the unit circle, centered at the origin. 2. Relevant equations grad f = λgrad g constraint: 1=x2+y2 3. The attempt at a solution grad f = 2xi+4yj grad g = 2xi+2yj 2x=λ2x 2y=λ4y How do I solve this? I don't see any way to get numbers for x and y out of this. I'm really not sure how to go on with this problem.