Question
Find the linearization L(x,y)of the function f(x,y) at P_0. Then find an upper bound for the magnitude |E| of the error in the approximation f(x,y)=L(x,y) over the rectangle R.
f(x,y) = (1/2)x^2 + xy + (1/4)y^2 + 3x - 3y + 4 at P_0(2,2),R:|x-2|<=0.1, |y-2|<= 0.1
f(x,y) = (1/2)x^2 + xy + (1/4)y^2 + 3x - 3y + 4 at P_0(2,2),R:|x-2|<=0.1, |y-2|<= 0.1