Question: Suppose F(x, y) is a function which is differentiable at (1, 2), and F(1, 2) = 3, D(1,1)F(1, 2) = 3, D(1,1)F(1, 2) = 1.

Suppose F(x, y) is a function which is differentiable at (1, 2), and

F(1, 2) = 3,

D(1,1)F(1, 2) = 3,

D(1,1)F(1, 2) = 1.

Find L(x, y), the linear approximation of F(x, y) at (1, 2).

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