A circular disk of radius 5 meters centered at the origin has been unevenly heated. The temperature at any point on the disk is given by T(x, y) = 50e-2²-y degrees Celsius, where x and y are measured in meters. (a) Where on the disk is the temperature the greatest? What is the temperature at that point? (b) Find the direction of greatest temperature increase at the point (1, 1). (c) What is the rate of temperature change if you move away from the point (1,1) in the direction of the point (2,0)?

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