(Solved): (1 point) Suppose that \( f(x, y) \) is a smooth function and that its partial derivatives have the ...

(1 point) Suppose that \( f(x, y) \) is a smooth function and that its partial derivatives have the values, \( f_{x}(6,2)=-3 \) and \( f_{y}(6,2)=4 \). Given that \( f(6,2)=8 \), use this information to estimate the value of \( f(7,3) \). 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) \( f(6,3) \) Estimate of (integer value) \( f(7,2) \) Estimate of (integer value) \( f(7,3) \)