(1 point) Math 215 Homework homework5, Problem 3 A happy heatloving bug is wandering on a hot plate. The temperature at any point on the plate is given by T(x, y) = 140e-(x2'2r02'4) If the bug is at the point P = (1, 2) and moving towards the point Q = (1, 1), what is the rate of change in the temperature in the direction of its In what direction should the bug move from P for the temperature to increase the fastest? (Give your answer as a unit vector.) 3 140;5 140e7 2 . 2 J \\/ ,g 2 ,a 2 l'\\/ ,g 2 ,1 (140e 2) +(140e 2) (140e 2) +(140e 7) What is the magnitude of the rate of change of temperature in that direction? [:]