Determine the following limit as (x, y) approaches (0,0) along x-axis. (x+y) lim (x,y) = (0,0) 2 2 2 +3 a) O DNE e) O O f) O None of the above. Find the gradient. f(x,y,z) =4 sin( 3 xy) + In (r?z) a) vf=(12 cos(3 xy) 8+ )i+ (-36 sin(3 xy) x?)j+ ( )x b) © Vf=(12 cos( 3xy) y+)i+(12 cos( 3 xy) x);+ ( )* e) © Vf=(1200x|3x)2) + (12004339)+ )i + ( 1 )s a) O VE(-36 sin(329) 52 ) + (12604 37) 3); + (+)* e) Vf=(1):- 12 cos(3xy)y+ i+(12 cos( 3xy) x) k f) None of the above