Consider the function f(z,y) = (e: 2m) siJ1(y). Suppose S is the surfaoe z = x, 3;). {a} Find a vector which is perpendicular to the level curve of f through the point [1, 6) in the direction in which f decreases most rapidly. vector = E] [b] Suppose ii = 7+ 1}: + a}; is a vector in 3space which is tangent to the surface S at the point P lying on the surface above (1, 6). What is a? no