Consider a closed rectangular box with dimensions xx  ft by  yy  ft by zz ft. If xx  is increasing at the rate of  4ftmin4ftmin, yy is decreasing at the rate of  6ftmin6ftmin   and zz is increasing at the rate of 3ftmin3ftmin . At what rate is the box's main diagonal changing when xx = 10 ft  , yy = 16 ft and zz =5 ft.

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