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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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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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