Work problems (60 points) (a) (15 points) Find and sketch the domain of the function In(1 - Vx2+ 12 f (x, y ) = - You need to y Vx2 - y use tools like a ruler, a compass if you are drawing lines, circles, and the coordinates. This is to avid loosing grades. (b) (15 points) Show that the limit y cos(x) lim does not exist. Also, if (x, y)-(0,0) v2 - 3x2 possible, find lim (x,y) - (-1,1) x4 -14 (c) (15 points) Find all the second partial derivatives of f(x, y, z) = (yz - xIn(y) + 6 (d) (15 points) For the function f(x, y, z) = In(x2 + y + z) find fxyz and fryy. Also compute the values of fxyz(1, 1, -1) and fxyy(1, 1, -1).If w = f(x, y, z) = x 2 + 1 2 then x2 - 72 fz(1, 0, 2) = 4. Select one: O True O False