The question has three parts. Suppose that the temperature T in a certain region of space is given by T(:c,y,z) = 3,122 + 4 $2. 1) Calculate VT at the point (1, 1, 2). The result is a vector ((1,, b, c) with a:'1 ' b:l1 l c:'1 ' 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 )_ l a 3) What is the magnitude ofthe maximal rate of decrease found in part 2)? Write the exact value of your answer in the box below