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Hee load Hiat a woden beam Supposts, the the Cris - the aquatiun For a Censtant weight Ynctangular piese heignf H and He widm W m Seckon of he beam follow) to = H2W Find dH in terms of W and H. H does7 Hiot: what fa the Does W 1nade 24 siyng

Hee load Hiat a woden beam Supposts, the the Cris - the aquatiun For a Censtant weight Ynctangular piese heignf H and He widm W m Seckon of he beam follow) to = H2W Find dH in terms of W and H. H does7 Hiot: what fa the Does W 1nade 24 siyng

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For a constant weight, the load that a rectangular piece of wooden beam supports, the height \( H \) and the width \( W \) of the cross-section of the beam follow the equation \( L = H^2W \). 1. Find \( \frac{dW}{dH} \) in terms of \( W \) and \( H \). 2. Does \( W \) increase as \( H \) does? Hint: What is the sign of \( \frac{dW}{dH} \)?
Transcribed Image Text:For a constant weight, the load that a rectangular piece of wooden beam supports, the height \( H \) and the width \( W \) of the cross-section of the beam follow the equation \( L = H^2W \). 1. Find \( \frac{dW}{dH} \) in terms of \( W \) and \( H \). 2. Does \( W \) increase as \( H \) does? Hint: What is the sign of \( \frac{dW}{dH} \)?
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