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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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