Question: 3. (20pts) Let (b) (c) (d) sin(xy) + ey24 (4pt) Prove that f is differentiable at (0, 2). (6pts) Find the linearization L(x, y)

3. (20pts) Let (b) (c) (d) sin(xy) + ey24 (4pt) Prove that f is differentiable at (0, 2). (6pts) Find the linearization L(x, y) of f at (0, 2). (4pts) Use the linearization to estimate sin(0.095) + e -0.39 (6pts) Find the value of the constant " c" so that the normal line to sin(xy) + ey24 at the point P (0, 2, 1) passes the surface f (x, y) through the point Q(2, c, 1).

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