questions 4-5) only please

17+] f(I:y)=m he a function f : 1R2 ~> IR. What is the natural domain of f(1,y)? Draw the m,y-plane and indicate the domain. What is the range of f (1', 3;)? (Assume f is dened in its natural domain). Compute the partial derivatives f:(1, y) and fy(x,y). (b) Evaluate the partial derivatives f1 and fy at the point (x,y) = (1, 2) . Compute the plane tangent to f(:c,y) at the point (any) = (1. 2). (a) Draw the level curves of f(1', y) for c E {2. 1.0. 1, 2}. Indicate the value of c of each curve. (b) Can level curves of functions intersect each other? What happens at the point (17, y) = (1.0).7 Justify your reasoning. . For the points (x, y) = (a, 6) given below. compute liIn as, (awab) f( y) or show that the limit does not exist. (a) (a: b) = ((10) (b) (a: b) = (110) (C) (01b)=(-170)