QUESTION 1 Let f(x, y) = 2xy + 2. Find and sketch the level curves f(x, y) = 0, f(x, y) = 2, f(x, y) = 4, and f(x,y) =6. You may draw all of them in the same plane. QUESTION 2 Let f(x, y) = V16 -x2 - 4y2. (a). Find and sketch the domain of this function. (b). Find and sketch the level curves f(c, y) = 0, f(x, y) = 2, and f(x, y) = 4. You may draw all of them in the same plane. (c). Find the range of this function. QUESTION 3 Let f(I, y) = F-y (a). Find the domain of f. (b). Find and sketch the level curves of f(r, y) = -1, f(x, y) =0, and f(x, y) = 1. You may draw all of them in the same plane. QUESTION 4 Let f(r, y) = y -1/x+1. (a). Find the domain of this function. (b). Find and sketch the level curves f(x, y) = -1, f(x, y) = 0, f(x,y) = 1, and f(x, y) = 2. You may draw all of them in the same plane. QUESTION 5 Let f(x, y) = In(x2 + y'). (a). Find the domain of this function. (b). Find and sketch the level curves f(c,y) = -2, f(r, y) = 0, and f(x, y) = 2. You may draw all of them in the same plane. QUESTION 6 Compute the following limit, or show that it doesn't exist. Make sure to justify your answer in full. lim (x,D)(0,0) x2+1/2