Suppose that the temperature at a point x, y, z in space is given by T(x,y,z)=80/1+x2+2y2+3z2, where T=°c and x,y,z in metres. In which direction does the temperature increases fastest at the point (1,1,-2). What is the maximum rate of increase

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Suppose that the temperature at a point x, y, z in space is given by T(x,y,z)=80/1+x2+2y2+3z2, where T=°c and x,y,z in metres. In which direction does the temperature increases fastest at the point (1,1,-2). What is the maximum rate of increase.

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