ure at a polmt In a T(x,y, z) = 200e-²²-3y²-9;²2 where T is measured in C° and x, y, z are measured in meters. You are currently at the point (2, –1, 2). (a) Find the rate of change of the temperature in the direction (1, -4, 1). (b) What direction should you go to warm up the fastest? (c) What is the maximum rate of temperature increase?

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