_ z2 2 2 The function T(a:, y: z) 10 ' '3 y 2 gives the temperature for points in a room. If you are in the point (4.2, 3), which direction should you move to experience the greatest possible increase in temperature. The answers in this assignment must be written exactly. Use "exp {x)" or "e" (x)" for the exponential function. By "direction" we mean a unit vector. x-coordinate for direction: y-coordinate for direction: z-coordinate for direction: If one moves in this direction, what is the slope of the temperature slope