No idea where to start with these questions. Due at midnight. Any help appreciated.

1. Consider the function of two variables dened by (a) (b) (C) f(:r,y)=1~./:r3+y3, :rER,yER. 1 Compute the level sets H59, 1;) = c for levels r: = 0, 5, 1, and use these to construct a sketch of z = f(:i:, y). Describe the surface and mention or label its important features. Find the partial derivatives 6 a 3:(359) and aim). Find equations of the planes tangent to the graph of f at the points (1, 1) and 1 1 (5' E) ' Calculate the limits . 8f . 8 f (wjylirfm 32: (56' y) and (\"131130.03 3216\2. Onthedomain D: {[33,9') ERBin [032]: y E [032]} consider the ftmction f(a:,y) = 23:3 +3y26wy+2. (a) Sketch the domain D on the 53-3; plane. (b) Find any critical points of the function x, y) inside the domain D that are not on the boundary of 'D. (c) Find the global maximum and global minimum of f (.13, 3;) on the domain 19