Evaluate the limit below or tell why the limit does not exist. You may need to by simplify the quotient before taking the limit. x + 2y lim (x,y)-(0,0) (x - 2y O NIP O 2 Limit does not exist by the two path test. 0 1 O -2Consider the function f(x,y). Find the value of the directional derivative at the point P in the direction of the given vector. f (x,y) = In(6 + x2+ yz) P( 2, -2) 2 V5 'VS 5V5 O 2 715 O 2 3V5 O 2V5 OFind the linear approximation the function f(x,y) at the given point. f (x, y) = 4x - y+8xy at point (3,4) OL(x,y) = -12x - 23y - 104 OL(x,y) = -12x 4 23y 496 L(x,y) = 12x - 23y - 104 O L(x,y) = 36x + 23y + 104 OL(x,y) = 36x + 23y -96