Hello! Please help me out with this calculus 3 problem. I just want to see a step by step on how to solve it ON PAPER. No need to explain each step in words. Solve them problem so I can understand. Thanks!

(6) Define a function of 2 variables: z = f (x, y) =22 - 3xy (a) Find the linear approximation of f (x, y) at the point (2, 1) (b) Find dz. Be sure to use proper notation for this, which involves use of the symbols dx and dy. () Find the equation of the tangent plane to the surface z = f (x, ") at the point (2, 1, -2). (Hint. You may use your answer to (a) to help with this)