Question: (7) The linear approximation to the surface z = f(x, y) at the point (a, b, f(a, b)) is given by the equation L(x, y)

 (7) The linear approximation to the surface z = f(x, y)

at the point (a, b, f(a, b)) is given by the equation

(7) The linear approximation to the surface z = f(x, y) at the point (a, b, f(a, b)) is given by the equation L(x, y) = f(a, b) + (a, b)(x - a)+ dy + 25 ( a, b ) (y - b ) . (This is assuming that the partial derivatives exist.) (a) Compute the linear approximation L(x, y) to the elevation function V(x, y) in Problem (2) at the point (2, 2). (b) Use L(x, y) to estimate the elevation at the point (2.25, 2.25). Compare this with the actual elevation, V(2.25, 2.25)

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