A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the sheet on eachside through an angle theta  . How should theta  be chosen so that thegutter will carry the maximum amount of water?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 14EQ
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A rain gutter is to be constructed from a metal sheet of
width 30 cm by bending up one-third of the sheet on each
side through an angle theta  . How should theta  be chosen so that the
gutter will carry the maximum amount of water? 

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