A happy heat-loving bug is wandering on a hot plate. The temperature at any point on the plate is given by Ttx, y) = sooe-(m2/2J(u2/s} If the bug is at the point P = (3, 3) and moving towards the point Q = (1, 1), what is the rate of change in the temperature in the direction of its motion? [3 In what direction should the bug move from P for the temperature to increase the fastest? {Give your answer as a unit vector.) C] What is the magnitude of the rate of change of temperature in that direction? C]