What is the magnitude of the rate of change of temperature, Mathematics

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What is the magnitude of the rate of change of temperature

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) = 130 e^{-(x^2/3) - (y^2/4)}

A) If the bug is at the point P=(2,3) and moving towards the point Q=(-1,2), what is the rate of change in the temperature in the direction of its motion?

B) 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?

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Mathematics: What is the magnitude of the rate of change of temperature

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