QUESTION 5 The temperature at a point (x,y,z) on a surface is given by T(x,y,z) = 10- 2x2+ 3y2+z?. a. Find the rate of change of the temperature at the point P(-3,1,-2) in the direction towards the point Q(1,-2, b. In what direction does the temperature increase most rapidly at the point P? c. What is the maximum rate of change of the temperature at the point P?

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A: We have to solve given problem:

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A: use directional derivative

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A: Consider the provided question, (1.)

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A: Please see the attachment

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A: I have given very detailed solution.Boxes are our solutions.

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