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.
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.
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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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.
Note: (Please clearly write out the answer and explain reasoning...I cannot understand solution when written like such: 1dDdt=12l2+w2+h22ldldt+2wdwdt+2hdhdt=1l2+w2+h2ldldt+wdwdt+hdhdt=11+22+2)
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