The length l, width w, and height h of a box change with time. At a certain instant the dimentions are l = 1 m and w = h = 2 m, and l and w are decreasing at a rate of 2 m/s while h is increasing at a rate of 3 m/s. At that instant we want to find the rate at which the length of the diagonal D of the box is changing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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 The length l, width w, and height h of a box change with time. At a certain instant the dimentions are l = 1 m and w = h = 2 m, and
l and w are decreasing at a rate of 2 m/s while h is increasing at a rate of 3 m/s. At that instant we want to find the rate at which the
length of the diagonal D of the box is changing 

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