I need solve this questions

Question 3 Question 4 Not yet answered Not yet answered Marked out of 5.00 Flag question Marked out of 5.00 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 0 Select one: O True Select one: O True O False OFalse Question 7 Question 8 Not yet answered 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 x2+ is: 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 O fx = 2xy + x - cosx O Dg = { (x, y) / (x, y) is above the first bisector y = x and x> -1} O fx = 2y + y sin y O Dg = { (x, y) / (x, y) is below the first O fx = 2xy + ycos x bisector y = x } Ofx = x2 - sin y + cos x O Dg = { (x, y) / (x, y) is below the first None of them bisector y = x and x > 1}