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The temperature at a point (I, y, 2) is given by T(z, y, z) = 30 52- -72-8:2 where T'is in degrees Celsius and I,

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The temperature at a point (I, y, 2) is given by T(z, y, z) = 30 52- -72-8:2 where T'is in degrees Celsius and I, y and & are in metres. Consider the point ,1 31. Showhide Find the rate of change in temperature, Rj at the point P. in the direction toward the point R = ain (@) Showhide Find the unit vector V in the direction of the fastest temperature increase at P. Hin (a) n C. - Showhide Find the maximum rate of increase, Ro, at P. Ro = Hin (a)

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