Let f(x, y) = 9 + x In(xy - 5). Study this function near the point (3, 2). a) The partial derivatives of f(x,y) are f,(x, y) = In(xy - 5) + ух and fy(x, y) = xy - 5 xy - 5 Both fy and f, are continuous functions for xy > 5 b) f(3, 2) = 6 and fy(3, 2) = 9 %3D c) Hence using Section 14.6 0 Theorem: 9 0 fis differentiable at (3, 2). d) Find the linearization L(x, y) of f(x, y) at (3,"2)." L(x, y) = 6x + 9y-27 e) The equation of the tangent plane at the point (3, 2, 9) to the surface z = f(x, y) is the equation