Can someone please help me to finish this question ? Thanks

1. Consider the function of two variables dened by f(z,y)=1\\/m2+y2, mER,yElR. Compute the level sets f (3:, y) = c for levels c = 0, %, 1, and use these to construct a sketch of z = f (37,191). Describe the surface and mention or label its important features. Find the partial derivatives E 61' 6 (39,9) and 3;(x, 9)- Find equations of the planes tangent to the graph of f at the points (1, 1) and 1 1 (a a). Calculate the limits lim Wl) and lim a $3 (mama) 89: (mama) 8y( y) or prove that either or both do not exist. Thus determine the equation of the tangent plane to z = f (m, y) at (0, 0), or explain why it does not exist. 2. On the domain D= {(93,31061132IrrE [0,2], ye [0,2]} consider the function f(:r,y) = 2933+3'y2 6:cy+2. Sketch the domain 1') on the 333; plane. Find any critical points of the function f (3:, y) inside the domain D that are not on the boundary of 'D. Find the global maximum and global minimum of f (x, y) on the domain D