I need solve this questions of calculus III MA261 this MCQ 3,4 only

Question 3 Question 4 Not yet answered Not yet answered Marked out of 5.00 Marked out of 5.00 Flag question Flag question The limit: The gradient vector of the function lim x -y (x,y)-(0,0) x2+ 1/2 f(x, y) = In(xy) - x' at the point (-1, 1) is (-1, -2). exists, and equal to O Select one: O True Select one: O True O False O False Question 7 Not yet answered Question 8 Marked out of 5.00 Not yet answered Flag question Marked out of 5.00 Flag question The domain of the function g(x, y) =- Vy-x X 2+ 1 15 : The partial derivative with respect to x of the Select one: function f(x, y) = xy + cosy + y sin x ? O Dg = { (x, y) / (x, y) is above the first bisector y = x} Select one: None of the others Ofx = 2xy + x - cosx O Dg = { (x, y) / (x, y) is above the first bisector y = x and x> -1} O fx = 2y + ysin y O Dg = { (x, y) / (x, y) is below the first O fx = 2xy + ycos x bisector y = x } O fx = x2 - sin y + cos x O Dg = { (x, y) / (x, y) is below the first None of them bisector y = x and x > 1}