Please help!!! use differentials for question 3 please!!!

1) Find the limit as (x, y) goes to (0,0) off (x, y) = SAYTy 2x2 - yl along the indicated path. a) The y-axis. (3 pts) b) x=3y. (3 pts) c) y=x (3 pts) d) Based on your answers from #1 does lim 3xy + y (x.y) (0,0) 2x - 12 exist? (Explain) (1 pts) Ovox 2) Find fi (x, y) and - Liff (x, y) = xy sin x + tan ' (y ). (4 pts) 3) A surveyor wants to find the area of a triangular field. She finds the angle between them to be 0=30", with a possible error of 0.9 . She measures the two sides of the field adjacent to O to be a = 500 ft and b = 720 ft, with a possible error of - foot in each measurement. The field is triangular so its area is given by A = - absine. Use