Part II: Free Response. Solve each problemli answers. There are 3 problems worth a total of 44 points. 1. (16 points] The temperature of a gas at the point (z, y, z) is given by T(x, y, z) = 12 - 5xz + y z. a) (8 pts] What is the maximum rate of change in the temperature at the point (1, 2, 3)? (3) AT = (22-52) + ( 24 2b) (8 pts) What is the rate of change in the temperature at the point (1, 2, 3) in the direction U = (2,2, -1)? Rate of change at the point T ( 2 , 4, 2 ) = 2 - 50 4 - 42