A happy heat-loving bug is wandering on a hot plate. The temperature at any point on the plate is given by T(x, y) = 240e (2²/2) (v²/4) If the bug is at the point P = (-1,3) and moving towards the point Q = (-3, 1), what is the rate of change in the temperature in the direction of its motion? 84.8528e In what direction should the bug move from P for the temperature to increase the fastest? (Give your answer as a unit vector.) What is the magnitude of the rate of change of temperature in that direction? <240e 7-360e >

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