Problem 5.15 The temperature in a certain region of space is given by T =To - A(2x? + y? + 2?) (in kelvin). Distances are in meters and the constantA has the value 0.5 kelvin/m?. The value of To is 300 K. (a) At point (1,2,2)what is the direction and rate (in K/m) of maximum temperature increase? (b)If you move one meter in that direction what is the temperature at the newposition? (c) The temperature at the new position as calculated by the formulais not equal to the value obtained by multiplying the rate of temperature decreaseòy the displacement. Explain this discrepancy.

solution of part (a) given equation :T = T0 - A ( 2 x2 + y2 + z2 )…

Answered: Problem 5.15 The temperature in a…

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