Question: Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, f.(5,-3) = -1 and f,(5,-3) = 2. Given

Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, f.(5,-3) = -1 and f,(5,-3) = 2. Given that f(5,-3) = -6, use this information to estimate the value of f(6,-2). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(5,-2) Estimate of (integer value) f(6,-3) Estimate of (integer value) f(6,-2)

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