- #1
tasveerk
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Homework Statement
Find the product of the maximal and the minimal values of the function
z = x - 2y + 2xy
in the region
(x -1)2+(y + 1/2)2≤2
Homework Equations
The Attempt at a Solution
I have taken the partial derivatives and set-up the problem, but I am having difficulty solving for x and y.
F(x,y) = x-2y+2xy-λ((x -1)2+(y + 1/2)2 -2)
Fx = 1 - 2y - 2λ(x-1)
Fy = -2 + 2x - 2λ(y+1/2)
Fλ = -((x -1)2+(y + 1/2)2 -2))