What is the magnitude of the rate of change of temperature

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Reference no: EM131010150

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) = 210e^{-(x^2/5)-(y^2/2)}

If the bug is at the point P = (-3,3) and moving towards the point Q = (3,2), what is the rate of change in the temperature in the direction of its motion?

In what direction should the bug move from P for the temperature to increase the fastest?

What is the magnitude of the rate of change of temperature in that direction?

Reference no: EM131010150

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