Anthropology homework help. The concentration of salt in a fluid at the point (x,y,z) is given by S(x,y,z) = x2 + y4 + x2z2 (in mg per cubic cm). You are at the point (?1, 1, 1).(a) In which direction should you move if you want the concentration to increase the fastest?(b) You start to move in the direction you found in part (a) at a speed of 4 cm/sec. How fast is the concentration (of salt) changing?