Find and sketch the domain of the function. f(x,y) = vy-6x - 5 Choose the correct description of the domain below. O A. All (x,y) satisfying y 25 and x S O B. All (x,y) satisfying y > 5 and x 5 or x 0 OF. All (x,y) satisfying y - 6x - 5so O G. All (x,y) satisfying y - 6x - 520 OH. All (x,y) Choose the correct sketch below. The domain is shaded in yellow. O A. O B. O C. O D. +At what point (x,y) in the plane are the functions below continuous? a. f(x,y) = sin (x + y -3) b. f(x,y) = In (x2 + y2 -4) a. Choose the correct answer for points where the function sin (x + y - 3) is continuous. O A. for every (x,y) O B. for every (x,y) such that y 2 0 O C. for every (x,y) such that x + y - 3> 0 O D. for every (x,y) such that x 2 0 b. Choose the correct answer for points where the function In (x2 + y2 -4) is continuous. O A. for every (x,y) such that x2 + y2 > 4 O B. for every (x,y) such that x > 4 and y > 4 O C. for every (x,y) such that x2 + y2 (0.0) or show that the limit does not exist, Consider converting the function to polar coordinates to make finding the limit easier. 3 f(x,y) = cos [x2 _::] (I) Select the correct choice below and. if necessary, ll in the answer box to complete your choice. [:3 A. lim f(x.y): (Simplify your answer.) (Ml40,0) C: B. The limit does not exist