Let g(x, y) = ace yey and answer the following questions. 1. (6 points) Compute dg (0, 0) and By (0, 0). 2. (4 points) Give an equation of the tangent plane to g(x, y) at (0, 0). 3. (6 points) Give the linearization L(c, y) of g(x, y) at (0, 0). (Hint: To save time, consider using work done in 2) above.) 4. (4 points) Define the error between the linearization L(a, y) and g(, y) by the function E(x, y) = \\L(x, y) - g(x, y) |. Using this definition, is the error at (-0.01, 0.01 ) less than 0.001