- 22 10 Marks The Temperature At X Y Z Of A Solid Sphere Centered At The Origin Is T X Y Z E X Y 2 1 1 (46.94 KiB) Viewed 44 times
22. (10 marks) The temperature at (x, y, z) of a solid sphere centered at the origin is T(x, y, z) = e-(x² + y² +2²). (1
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22. (10 marks) The temperature at (x, y, z) of a solid sphere centered at the origin is T(x, y, z) = e-(x² + y² +2²). (1
22. (10 marks) The temperature at (x, y, z) of a solid sphere centered at the origin is T(x, y, z) = e-(x² + y² +2²). (1) Find the directional derivative of T at (1,1,-1) in the direction of = (1,2,2). (2) In which direction at (1, 1,-1), the temperature increases most rapidly? Find the maximum rate of change.