### Level Curves

Sketch the graph: z= f(x,y) where f(x,y)= x^2 + xy ; c=0,1,2,3,-1,-2,-3 Please show/describe all steps AND explain why it is a hyperbola. Also, sketch the graph: z=f(x,y) where f(x,y)= x/y ; c= 0,1,2,3,-1,-2,-3 Please show/describe all steps.