The question has three parts. Suppose that the temperature T in a certain region of space is given by T(:n,y,z) : 3/22 + 4 m2. 1) Calculate VT at the point (1, 1, 2). The result is a vector (:1, b, c) with 2) Determine the direction in which T decreases most rapidly at the point (1, 1, 2). Write the direction in the box below using Maple syntax. (For example, if the direction is (1, ,2, 2), write ). . n E 3) What is the magnitude of the maximal rate of decrease found in part 2)? Write the exact value of your answer in the box below. 4*SQI'HG) 0