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OpenStudy (anonymous):
Consider the temperature at a point (x, y, z) in a rectangular box is given by T(^0 C)= 10+xyz(1-x)(2-y)(3-z), 0≤x≤1cm,0≤y≤2cm,0≤z≤3cm. If a fly is currently at location (0.5, 1, 1), in which direction should it fly to cool off as rapidly as possible? Find the minimum length of the path it should take for ∆T=〖10〗^0 C.
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