Question: QUESTION 9 8 points Save Answer (4+2+2=8 marks) The temperature T(measured in degrees Celsius) at a point (x.v.z)(measured in kilometres) in a certain region of

QUESTION 9 8 points Save Answer (4+2+2=8 marks) The temperature T(measured in degrees Celsius) at a point (x.v.z)(measured in kilometres) in a certain region of space is given by the function T(x.y,z) =lz- 522x+7z31y. a. Find the rate of change ofthe temperature at the point p\"), 1, _ \"in the direction of the vector v=2i+Gj-3k. b. Find the direction in which the temperature increases most rapidly at the point F\"), I _ _ l)- c. Find the maximum rate of change of the temperature at the point P (0. l , 1)

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