2. Consider the function z=f(x,y)-9-xs_9y? Identify the graph of z-(x, y) as a quadric surface. Find a function g(x, y, z) such that z = f(x,y) is the level surface g(x, y, z) 0 . Find a function hdx.), z) such that z-/(x,y) is the level surface lar.ye) . Find an equation of the tangent plane to the graph of z-fx,y) at the point where (xy)1). Show all steps. Use notation to show what is computed. é¾Cons ider the function f(x,y, z) = 8-2x2-y2-22 Find an equation for the level surface of J(x,y,z) that contains the point (-12-1). Identify this level surface as a quadric surface. ComputeVtry,z). Compute V/(-1.2-1). Find an equation for the plane tangent to the level surface of fx,y,z) that contains the point (-1,2,-1). Show all steps. Use notation to show what is computed.