A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, at each point is proportional to the distance from the point to the origin. If the temperature at point (3, 4) is 150°C, it is asked: (a) Find the rate of change of T at the point (3, 4) in the (−1, 1) direction. (b) In which directions is the rate of change zero? answer: a) 3 √2               b)The requested directions are (4, −3) and (−4, 3)

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